Quiz-Tree

Simplify Fractions

How do you know when a fraction is in its simplest form? Simplifying fractions is all about finding what divides both the top and bottom, and these quizzes give you plenty of practice spotting it.

Simplifying Fractions to Lowest Terms

Each quiz hands you fractions to reduce, from gentle ones like 4/6 and 6/8 to sets built around tenths, twelfths, eighteenths, and twentieths, such as 9/12, 6/18, and 15/20. The goal each time is to divide the numerator and denominator by their shared factors until nothing else divides evenly.

These sets run from beginner to intermediate. Looking for the largest number that divides both parts at once gets you to the answer faster than chipping away one small factor at a time. You will meet fractions that reduce in a single move and others that take a few, which is exactly the range you want for practice.

Did You Know?

A fraction can look nothing like a half and still equal one. For example, 7/14 reduces all the way down to 1/2, and 10/20 is just a half in disguise.

A busy-looking fraction can hide a simple one inside it. Reduce 6/18 fully and you land on a plain 1/3, while 12/16 settles neatly into 3/4.

How the Quizzes Work

Each quiz is short, about five minutes, and you can repeat any of the 6 sets until the shared factors jump out at you. Some fractions reduce in a single step while others take two or three, so the practice trains your eye to spot the biggest factor early. Simplifying is the finishing touch on almost every fraction problem, so the habit pays off well beyond this set. Spotting that biggest shared factor early is the difference between one quick step and several slow ones. Ready to tidy up your fractions? Try the free interactive math quizzes and start simplifying.

1. Simplifying Fractions 1

This quiz is all about reducing fractions to their simplest form, with 10 questions to practice on. Instead of finding a fraction of a number, you take something like 4/6 or 6/8 and rewrite it using the smallest numbers possible. It is a great fit for students who already know how to multiply and divide and want to tidy up their answers. The key idea is spotting a number that divides both the top and bottom evenly, since once you find it, the fraction shrinks to its neatest form in a single step. Recommended level: beginner to intermediate.

score: 84% (everyone)

2. Simplifying Fractions 2

Here is more simplifying practice, with 10 questions built around tenths and twelfths. You take a fraction like 8/10 or 9/12 and reduce it to its smallest form. It works well for students who got the hang of the first simplifying set and want fractions with bigger bottom numbers. A handy habit is to look for the largest number that divides both parts at once, which gets you to the answer faster than chipping away little by little. Twelfths are great practice here, since twelve can be split so many different ways. Recommended level: beginner to intermediate.

score: 84% (everyone)

3. Simplifying Fractions 3

This quiz gives you 10 fractions to reduce down to their simplest form, so it's good practice once you already know what a common factor is. You'll work through prompts like simplifying 10/12 or 3/15, where the goal is to keep dividing the top and bottom by the same number until nothing else divides evenly anymore. Here's something that trips people up at first: a fraction can look totally different from a half and still equal one. For example, 7/14 reduces all the way down to one half. Watch for these hidden equivalents as you go through the set. Recommended level: beginner to intermediate.

score: 95% (everyone)

4. Simplifying Fractions 4

Ten fractions, one task: shrink each one down to its lowest terms. If you've been building up your simplifying skills, this set keeps the momentum going with denominators in the teens. A couple of the prompts you'll see are 9/15 and 4/16, and the trick each time is finding the largest number that divides both parts cleanly. One thing worth noticing: some fractions reduce in a single step while others need two or three. 12/16, for instance, lands on three quarters. Spotting that bigger common factor early saves you a lot of time. Recommended level: beginner to intermediate.

score: 89% (everyone)

5. Simplifying Fractions 5

This set has 10 fractions to simplify, and the numbers climb a bit with several eighteenths in the mix. You might be asked to reduce 6/18 or 14/18, and as always the plan is to divide the numerator and denominator by their shared factors until you can't go any further. A neat thing to catch here is how a busy looking fraction can hide a really simple one inside it. Reduce 6/18 all the way and you land on a basic third. Once you start recognizing those patterns, the bigger denominators stop feeling intimidating. Recommended level: beginner to intermediate.

score: 91% (everyone)

6. Simplifying Fractions 6

With 13 fractions to reduce, this is the longest set in the simplify series, and most of the prompts use a denominator of 20. You'll tackle things like 6/20 and 15/20, cutting the top and bottom down by their common factors until the fraction is as small as it can possibly be. Twenty is a friendly number to practice with because it shares factors with so many numerators. Keep an eye out for 10/20, which is just a half in disguise. The more of these you do, the faster you'll start spotting the shortcuts. Recommended level: beginner to intermediate.

score: 88% (everyone)