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  <id>https://calculadorafracciones.com/en/blog/feed.xml</id>
  <title>Fraction blog</title>
  <subtitle>Pick a fraction article by what you need: prepare a lesson, practice, understand a procedure, or read a curiosity, with one example of each.</subtitle>
  <updated>2026-10-24T00:00:00Z</updated>
  <author><name>Calculadora de Fracciones</name></author>
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  <entry>
    <id>https://calculadorafracciones.com/en/blog/1-to-4-dilution-ratio/</id>
    <title>1:4 dilution: one quarter or one fifth?</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/1-to-4-dilution-ratio/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>What 1:4 means on a dilution label and how much concentrate and water go into 1 L, 750 mL or 2 L. Includes the &quot;1 in 4&quot; reading, which changes the result.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/17-camels-problem/</id>
    <title>The 17 Camels Puzzle, Explained with Fractions</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/17-camels-problem/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Three brothers inherit 17 camels: one half, one third, and one ninth. A borrowed camel gives them 9, 6, and 2. The key: 1/2 + 1/3 + 1/9 = 17/18.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/50-30-20-rule-fractions/</id>
    <title>The 50/30/20 rule explained with fractions</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/50-30-20-rule-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>Work out the 50/30/20 rule as fractions of a total: 1800 splits into 900, 540 and 360. Check the parts add up to the total and adapt it to other percentages.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/aspect-ratio-16-9/</id>
    <title>Aspect ratio 16:9: how to simplify resolutions</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/aspect-ratio-16-9/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Simplify 1920×1080 to 16:9 with the greatest common divisor, find an image&apos;s missing height, and see why 2560×1080 is 64:27 and not 21:9.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/average-speed-round-trip/</id>
    <title>Average round-trip speed: 60 out, 40 back</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/average-speed-round-trip/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Driving 60 mph out and 40 mph back gives an average speed of 48 mph, not 50. Find the average of two speeds with a table, and the case where it cannot be done.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/bicycle-gear-ratios/</id>
    <title>Bicycle gear ratio: chainrings and sprockets</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/bicycle-gear-ratios/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>With a 50-tooth chainring and a 20-tooth sprocket, the wheel turns 5/2 times per pedal revolution. Work out development in meters and speed in km/h at 90 rpm.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/calculate-test-grade/</id>
    <title>How to calculate a test grade with fractions</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/calculate-test-grade/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Work out a test grade with fractions: points over the maximum, times the scale. Also weighted averages, penalties for wrong answers, letter grades and rounding.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/create-fraction-worksheets/</id>
    <title>Fraction Worksheets with Answer Keys: Model and How to Build One</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/create-fraction-worksheets/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>A 12-problem fraction worksheet with a key: 6 on equivalence, 4 sums in sixths and 2 word problems. How to order the difficulty and which answers to accept.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/diophantus-riddle/</id>
    <title>Diophantus’ riddle: the age that solves his epitaph</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/diophantus-riddle/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>The epitaph of Diophantus is solved with one equation and the least common multiple 84. The stages add 14, 7, 12, 5, 42 and 4 years, so the age is x = 84.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/fraction-classroom-activities/</id>
    <title>Five fraction activities for the classroom</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/fraction-classroom-activities/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Paper strips, tape, a recipe card, a wrong sum and bars make a 40-minute fraction session, with sample answers to discuss.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/fractions-in-music/</id>
    <title>Fractions in Music: Note Values, Dots, and Time Signatures</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/fractions-in-music/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>How long a dotted quarter note lasts, how to add note values until a measure is full, and why two measures of the same length can sound different.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/fractions-in-photography/</id>
    <title>Fractions in Photography: Shutter Speed and f-Number</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/fractions-in-photography/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Shutter speed is a fraction of a second: 1/125 and 1/60. The f-number is a ratio of focal length to diameter, and f/4 lets in 1/4 of the light.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/fractions-in-the-news/</id>
    <title>&quot;One in four&quot; as a percentage: fractions in the news</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/fractions-in-the-news/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>&quot;1 in 4&quot; is 1/4, or 25%. How to compare 3/8 with 2/5 and tell percentage points, relative change and absolute risk apart in a headline.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/fractions-that-approximate-pi/</id>
    <title>Which fractions approximate π, and which one to use</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/fractions-that-approximate-pi/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Compare the best-known and other fractions that approximate π, with their error and the denominator you need, and see where they come from.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/gold-karats-fractions/</id>
    <title>What 18-karat gold means: 18/24 = 3/4 = 75%</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/gold-karats-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>18-karat gold is 18/24 = 3/4 = 75% pure gold. Learn to convert karats to a fraction, a percentage and fineness, and to find the grams of gold in a piece.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/golden-ratio-fibonacci-fractions/</id>
    <title>The golden ratio and Fibonacci fractions</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/golden-ratio-fibonacci-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>The Fibonacci ratios 3/2, 5/3 and 13/8 close in on φ ≈ 1.618034 from above and below. Table, continued fraction [1; 1, 1, …] and exact differences.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/help-with-fractions/</id>
    <title>How to Help a Child with Fractions Without Doing the Homework</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/help-with-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>A table of common wrong answers, the likely idea behind each, the question that helps the child find the mistake, and how to check the correction.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/history-of-fractions/</id>
    <title>History of fractions: from Egypt to the fraction bar</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/history-of-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>How a fraction was written in Egypt, Babylon, India and Europe: what is known about the Rhind papyrus, base 60, the fraction bar and the ÷ sign.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/interpret-fraction-solution-steps/</id>
    <title>How to read the steps of a fraction solution</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/interpret-fraction-solution-steps/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Read a fraction solution step by step: common denominator, operation, sign and reduction. How to find the first false equality and fix it.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/leap-years-fractions/</id>
    <title>Why leap years exist: the calendar fraction</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/leap-years-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>Leap years exist since the solar year lasts ≈365.2422 days: the Julian calendar uses 365 + 1/4, the Gregorian 365 + 97/400. Why 1900 and 2100 aren&apos;t leap years.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/margin-vs-markup/</id>
    <title>Margin vs. markup: why one 25% is not another 25%</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/margin-vs-markup/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Markup is figured on cost and margin on price: a 25% markup leaves a 20% margin. Exact conversions between the two and a worked pricing example.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/parallel-resistors-fractions/</id>
    <title>Parallel resistors: formula and sum of reciprocals</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/parallel-resistors-fractions/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>How to find parallel resistance with fractions: add the reciprocals, then flip the sum. 6 Ω and 3 Ω give 2 Ω, and three branches work the same way.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/remove-tax-from-price/</id>
    <title>How to remove tax from a price: divide, do not subtract</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/remove-tax-from-price/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>To take tax out of a price that includes it, divide by 1 + r/100. At 8%, $54.00 gives a base of $50.00; factor table, rounding and a discount before tax.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/spanish-fraction-names/</id>
    <title>Eleventh or one eleventh? How fractions are named in English</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/spanish-fraction-names/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-24T00:00:00Z</updated>
    <summary>One eleventh is 1/11, one of eleven equal parts; the eleventh is a position. How to read 3/11 and 7/12, why half and quarter are special, a third vs the third.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/square-root-of-2-not-a-fraction/</id>
    <title>Why the square root of 2 is irrational: the proof</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/square-root-of-2-not-a-fraction/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Proof by contradiction that the square root of 2 is not a rational number, with the closest simple fractions 3/2, 7/5, 17/12, 41/29 and 99/70.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/successive-discounts/</id>
    <title>Successive discounts: why 20% + 20% is not 40%</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/successive-discounts/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Work out two discounts in a row by multiplying factors: on $60, two 20% cuts leave $38.40. Compare with a single 40% cut, half off the second item and 3-for-2.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/why-0-1-plus-0-2/</id>
    <title>Why 0.1 + 0.2 is not 0.3 on a computer</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/why-0-1-plus-0-2/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>0.1 and 0.2 are stored as approximate binary fractions, so 0.1 + 0.2 prints 0.30000000000000004 while the exact sum 1/10 + 2/10 = 3/10 is different.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/why-60-minutes/</id>
    <title>Why an hour has 60 minutes</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/why-60-minutes/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>60 has 12 divisors and 100 only 9, so fractions of an hour come out as whole minutes. What is known about the origin in Mesopotamia.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/why-fractions-are-hard/</id>
    <title>Why fractions are hard: the whole-number bias</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/why-fractions-are-hard/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>Six whole-number beliefs that break with fractions, each with a counterexample, and how the number line and estimating help.</summary>
  </entry>
  <entry>
    <id>https://calculadorafracciones.com/en/blog/zeno-half-series/</id>
    <title>Zeno&apos;s paradox with fractions: 1/2 + 1/4 + 1/8 + … = 1</title>
    <link rel="alternate" type="text/html" href="https://calculadorafracciones.com/en/blog/zeno-half-series/"/>
    <published>2026-10-05T00:00:00Z</published>
    <updated>2026-10-05T00:00:00Z</updated>
    <summary>The series 1/2 + 1/4 + 1/8 + … adds up to 1 and answers Zeno&apos;s paradox: the partial sums 1/2, 3/4, 7/8 and 15/16 approach 1 as a limit.</summary>
  </entry>
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