Fractions practice that builds real fluency

Free, no-login fractions drills for grades 3–6. Six progressive levels from like denominators through full four-operation fractions arithmetic.

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Same denominators Unlike denominators All four operations Denominators to 12

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Fractions are the topic where kids who were doing fine at math suddenly aren’t. The concepts are unfamiliar (a number that looks like two numbers stacked), the procedures are different for each operation, and unlike denominators introduce a whole new step. The National Mathematics Advisory Panel identified fractions as a single biggest predictor of later algebra success in 5th-grade math — a finding replicated in Siegler et al. (2012). In other words: fractions fluency in elementary school is one of the strongest signals we have for who will do well in middle and high school math.

Num Drill’s fractions track is built to drill the procedural side: many fast reps on the operations, with adaptive weighting on the kinds of problems your child keeps missing. It pairs naturally with conceptual work in school or with worksheets at home; our free fraction worksheets start with shaded shapes and go up to unlike denominators.

What kids practice in Num Drill’s fractions track

Levels 1–3: foundations

Level 1. Reduce to lowest terms (e.g. 6/8 → 3/4). The single most fundamental fractions skill.
Level 2. Add and subtract with like denominators (e.g. 3/8 + 2/8). The first place fractions arithmetic becomes real.
Level 3. Add and subtract with unlike denominators (e.g. 1/3 + 1/4). The hardest jump in elementary fractions.

Levels 4–6: full fractions arithmetic

Level 4. Multiplication and division of fractions (e.g. 2/3 × 3/4 or 1/2 ÷ 2/3). The procedures kids most often confuse.
Level 5. Mixed numbers in addition and subtraction (e.g. 2 1/3 + 1 2/5). Where conversion to improper fractions becomes a real skill.
Level 6. All four operations with mixed numbers and unlike denominators. The fluency target for end-of-6th-grade.

How to pick the right level

Most 3rd graders should start at level 1 (reducing) and only move to level 2 once reducing is automatic. Most 4th graders are ready for levels 2–3. Most 5th graders should be working on levels 3–5, with mixed-number conversion (level 5) being the typical sticking point. Most 6th graders should be drilling level 5 and 6 regularly.

The level grid is always visible inside the app, and the level tile colors update as your child’s mastery improves. The app suggests the next level when accuracy and speed both pass thresholds.

Why fractions deserve their own daily practice

Fractions arithmetic is unusual because each operation has a different procedure. Addition and subtraction with unlike denominators require a common denominator and converting both fractions; multiplication just multiplies straight across; division flips the second fraction and multiplies. Most kids learn these procedures correctly the first time but lose track of which one goes with which operation under speed.

Drilling all four operations in mixed-up order (which Num Drill does at higher levels) forces your child to identify the operation and pick the correct procedure — not just run the same procedure repeatedly. That’s the skill that transfers to test performance and to fractions inside word problems.

If the procedures still feel like magic, go back to where fractions live: fractions on a number line shows 1/2, 2/4 and 3/6 landing on the same point.

Specifically for 4th graders

4th grade is when fractions go from “name and recognize” to “compute with.” The CCSS-aligned benchmarks are: add and subtract fractions with like denominators, multiply a fraction by a whole number, and identify equivalent fractions. Levels 1, 2, and (selectively) 3 of the Num Drill fractions track cover this exactly. A 10-question level 2 quiz, three to five days a week, is the right amount of fractions practice for most 4th graders — about three minutes a day total.

How Num Drill grades your child’s answer

Fractions answers are graded on reduced-form equivalence: 6/8 and 3/4 are both accepted as the same answer. We don’t require a particular reduced form unless the level is explicitly testing reduction (level 1). That keeps the focus on whether your child got the math right, not on whether they remembered to simplify.

Fraction worked examples

Adding with the same denominator: 2/7 + 3/7

The pieces are the same size (sevenths), so add the numerators and keep the denominator: 5/7.

Adding with different denominators: 2/3 + 1/4

Find a common denominator: 12. Then 2/3 = 8/12 and 1/4 = 3/12, so 8/12 + 3/12 = 11/12.

Subtracting: 5/6 − 1/4

The common denominator is 12: 10/12 − 3/12 = 7/12.

Multiplying: 2/3 × 3/5

Multiply the numerators and the denominators: 6/15. Divide both by 3 to simplify: 2/5.

Fraction practice questions

Work each one out, then tap it to check.

3/8 + 2/8

5/8

1/2 + 1/3

5/6

3/4 − 1/2

1/4

2/5 × 1/2

1/5

Simplify 9/12

3/4

Which is bigger, 3/5 or 2/3?

2/3 (10/15 is more than 9/15)

Prefer paper? The free fraction worksheets run from shaded shapes to adding unlike denominators, each with an answer key.

Try a 10-question fractions drill

About a minute of your child’s time. Pick a level that fits, or start at level 2 if your child is in 4th grade and you’re not sure.

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Common questions

Why are fractions so hard for kids?

Fractions look unfamiliar (a number that resembles two stacked numbers) and use a different procedure for each operation: add and subtract require a common denominator; multiply goes straight across; divide flips and multiplies. Most kids learn the procedures correctly but lose track of which one matches which operation under speed.

What grade do kids learn to add fractions with unlike denominators?

5th grade is the standard introduction in Common Core (5.NF.A.1). Most 5th graders should be working on Num Drill's fractions level 3 (unlike denominators) and level 5 (mixed numbers in addition and subtraction).

How do I help my child practice fractions at home?

Short daily retrieval practice on the operations, paired with conceptual work in school or with worksheets. A 10-question fractions quiz at the right level, three to five days a week, is the right amount for most 4th and 5th graders — about three minutes a day.

Does Num Drill accept different equivalent fraction forms?

Yes. Fractions answers are graded on reduced-form equivalence: 6/8 and 3/4 are both accepted as the same answer. Reduction is only required at level 1, which explicitly tests reducing to lowest terms.

How do you add fractions with different denominators?

Rewrite both fractions with a common denominator, then add the numerators. For 2/3 + 1/4, use twelfths: 8/12 + 3/12 = 11/12.

How do you simplify a fraction?

Divide the numerator and denominator by their greatest common factor. For 12/18, both divide by 6, giving 2/3.

How do you multiply fractions?

Multiply the numerators, multiply the denominators, then simplify. 2/3 × 3/5 = 6/15 = 2/5. No common denominator is needed.