What Is Simplifying Fractions? Steps and Tips

Simplifying a fraction means writing it in its smallest possible form. Tests often ask you to "give your answer in simplest form," so it is an essential skill in fraction work. This guide covers what simplifying means, how to do it, and how to do it quickly and correctly.

What does simplifying mean?

Simplifying means dividing the numerator (top number) and denominator (bottom number) by the same number to make a simpler fraction. The value stays the same; only the numbers get smaller. For example, dividing the top and bottom of 6/8 by 2 gives 3/4. Both 6/8 and 3/4 represent the same amount.

You are finished when the fraction cannot be reduced any further. In 3/4, no number other than 1 divides both 3 and 4, so this is the simplest form.

The fast method using the greatest common divisor

You can divide step by step, but dividing by the greatest common divisor — the largest number that divides both the numerator and denominator — finishes in one go. For 18/24, the greatest common divisor of 18 and 24 is 6. Dividing top and bottom by 6 gives 3/4 in a single step.

If you cannot spot the greatest common divisor right away, keep dividing by small numbers (2, 3, 5, and so on) as far as they go. You will reach the same answer in the end.

Common stumbling points

A frequent mistake is stopping partway. Reducing 12/18 by 2 to get 6/9 and stopping there can be marked wrong; 6/9 can be divided by 3 again to reach 2/3. Always check at the end whether it can still be reduced.

Another mistake is dividing only the numerator or only the denominator. When simplifying, you must divide both by the same number.

Related topics and tools

The greatest common divisor used for simplifying can be checked with the GCD and LCM calculator. Simplify a fraction yourself first, then compare with the step-by-step answer in the fraction calculator to see exactly where to stop.