Math practice · Fractions, decimals and percents · ages 9+

Free fractions practice, with every step shown

The Treat Bakery world in Ranger's Math Trail is all fractions: simplifying to lowest terms, adding and subtracting with the same and different denominators, mixed numbers, a fraction of a number, and multiplying and dividing fractions.

Type answers like 3/4 on the number pad. In the simplify stops, a right amount that isn't in lowest terms gets a nudge to simplify instead of a miss; everywhere else, any equal answer counts. Show me how walks through common denominators, keep-change-flip and the final simplify.

Practice fractions now

Pick a level

SimplifyLevel 1 · ages 9+Add & subtract, same bottomsLevel 2 · ages 9+Different bottomsLevel 3 · ages 10+Mixed numbersLevel 4 · ages 11+Fraction of a numberLevel 5 · ages 10+Multiply fractionsLevel 6 · ages 11+Divide fractionsLevel 7 · ages 12+

Free, no sign-up. The game asks your age once, then every answer comes with a hint and a step-by-step Show me how.

How to do it

Simplify: divide the top and bottom by their greatest common factor. 6/8 ÷ 2 on top and bottom = 3/4.
Add or subtract: make the denominators the same first, then add or subtract the tops and keep the bottom.
Multiply: top times top, bottom times bottom, then simplify.
Divide: keep the first fraction, change ÷ to ×, flip the second fraction, then multiply.

Worked examples

Example 11/2 − 1/6 = ?

The bottoms are different (2 and 6). Find a common denominator: the smallest number both go into is 6.
Rewrite: 1/2 = 3/6 (×3 top and bottom) and 1/6 = 1/6 (×1).
Subtract the tops: 3 − 1 = 2, over 6.
Simplify if you can: the answer is 1/3.

Answer: 1/3

Try one like it →

Example 21/3 ÷ 1/9 = ?

Dividing by a fraction = multiplying by its flip (reciprocal). Keep, change, flip:
1/3 ÷ 1/9 = 1/3 × 9.
Multiply tops: 1 × 9 = 9. Multiply bottoms: 3 × 1 = 3.
Simplify: 9/3 = 3.

Answer: 3

Try one like it →

Mistakes to watch for

Never add the bottoms. 1/2 + 1/3 is not 2/5; it's 3/6 + 2/6 = 5/6.
Use the smallest common denominator to keep the numbers small.
Simplify at the end, and check whether an improper fraction should be a mixed number.

The game

NEW New: Ranger's Math Trail $Ranger's Math Trail gameplay$

Ranger's Math Trail

Math: quick facts to algebra and geometry

Math from quick facts to algebra and geometry, with every step shown. It sets itself up for your age.

LearningPuzzle

Play now

Questions

How do I type a fraction or a mixed number?

Type 3/4 with the / key. For a mixed number, the fractions world has a space key: 1 1/2. Decimals like 0.75 are accepted where they're equal.

What age are fractions for?

Simple fractions start around age 9 (grade 3 or 4). Unlike denominators, mixed numbers and dividing fractions come at ages 10 to 12.

More math practice: Addition · Subtraction · Multiplication facts · Division and long division · Place value and rounding · Decimals · Percents and ratios · Negative numbers · Order of operations · Exponents and square roots · Solving equations · Slope and linear equations · Systems of equations · Factoring quadratics · Area, perimeter and volume · Angles · Pythagorean theorem · Circles · Mean, median, mode and range · All math topics