The fraction answer checker works as a practice loop: you answer first, the checker tells you whether the value matches, and if not, it gives a hint before revealing the steps. It computes the exact result of an operation on two values and compares it with yours. That separates a wrong operation from a correct answer that only needs reducing. For new exercises with solutions, use the fraction worksheet generator; here you only check your own.
How to use the checker
- Choose the operation (add, subtract, multiply, divide, simplify or compare) and enter the two values.
- Type your answer, choose the mode (Accept equivalent fractions or Require lowest terms) and select Check answer.
- To see the work, tick Show full worked solution and check again.
The hint after a miss depends on the operation: a common denominator for adding or subtracting, products of numerators and denominators for multiplying, or the reciprocal of the second value for dividing.
What counts as a correct answer
An answer is correct if its value matches the result of the operation. Equivalence mode looks only at the value; lowest-terms mode also requires a fraction that cannot be reduced, with a positive denominator and a gcd of numerator and denominator equal to 1. That is why 2/4 passes in the first mode and gets a reduction notice in the second. A negative result carries its sign on the fraction, not on the denominator.
Worked example: 3/4 − 1/6
The exercise is 3/4 − 1/6 and you type 14/24. What does the checker say in each mode?
- Find the common denominator. The LCM of 4 and 6 is 12, so 3/4 = 9/12 and 1/6 = 2/12.
- Subtract the numerators. 9/12 − 2/12 = 7/12.
- Compare with your answer. 14/24 has the same value as 7/12, because 14 and 24 are both divisible by 2.
- Apply the mode. In equivalence mode you see “Correct answer”; in lowest-terms mode, “Correct value; write it in lowest terms”, because gcd(14, 24) = 2.
Result: 7/12, and 14/24 is an equivalent answer.
Check: adding 2/12 back to the result gives 9/12, the starting point.
The table shows four possible answers for that same exercise. Only the reduced form passes both modes, and a rounded decimal passes neither because its value is different.
| Your answer | Equivalence | Lowest terms |
|---|---|---|
| 7/12 | Correct answer | Correct answer |
| 14/24 | Correct answer | Correct value, needs reducing |
| 0.58 | The answer does not match | The answer does not match |
| 2/12 | The answer does not match | The answer does not match |
Pick the mode from the instructions. If the problem asks for “the result,” any equivalent fraction is valid; if it says “simplify” or “write in simplest form,” use lowest terms. To see why two different fractions can have the same value, read about equivalent fractions.
Two more wrong answers and their hints
In subtraction, swapping the order or the sign gives a different value. For 2/5 − 4/5 the result is −2/5; typing 2/5 does not match in either mode, while −4/10 is accepted by equivalence. In division, multiplying by the divisor without flipping it is the typical slip: for 4/5 ÷ 2/3 the result is 6/5, and 8/15 does not match. The division hint points to the reciprocal of the second value, which is exactly what was forgotten.
What to do when the checker is not enough
For two values, one exercise at a time, this page is enough. If your problem has parentheses or more than two fractions, use fraction expressions. For new exercises with solutions, the fraction worksheet generator builds printable sheets, and the fraction worksheets are organized by topic and grade. When only the reduction fails, the simplify fractions calculator shows the gcd step by step, and the guide to verifying a fraction answer covers other ways to check an operation without the tool.
Sources
Wikipedia, in its article Fraction, section “Arithmetic with fractions,” explains that multiplying or dividing the numerator and denominator by the same nonzero number gives an equivalent fraction, and that a fraction whose numerator and denominator share no factor greater than 1 is in lowest terms, also called irreducible (accessed October 17, 2026). OpenStax, in section 4.2 of its book Prealgebra 2e, defines a simplified fraction as one with no common factors other than 1 in the numerator and denominator (accessed October 17, 2026). Both sources support the lowest-terms criterion and the notion of equivalence the checker uses.
Frequently asked questions
What if I type a rounded decimal or a mixed number?
A rounded decimal does not match: for a result of 3/8, 0.375 is accepted but 0.38 is not. Write a mixed number with a space between the whole number and the fraction, so 1 1/4 equals 5/4. In lowest-terms mode, a decimal gets a note that the answer still needs to be written as a reduced fraction.
How do I know if I am simplifying correctly?
Choose Simplify fractions, enter the fraction and your result. For 18/30, the answer 9/15 has the right value but can still be reduced; the correct answer is 3/5, because the gcd of 18 and 30 is 6. This exercise type always requires lowest terms, whatever the mode.
Does it save my answers?
No. The check runs on the page with what you type, with no account and no history. When you change a value or the operation, the previous message disappears until you select Check answer again, so an old result is never mistaken for the new exercise.