Multiplying & Dividing Fractions Practice — Free Drills

Practice multiplying and dividing fractions with this free tool. It generates problems at your level, checks your answer in any equivalent form, and shows how to multiply across (or flip and multiply) and simplify — one step at a time.

How the practice works

1. Pick a difficulty.
2. Enter your answer as a fraction and press Check.
3. Read the feedback and step-by-step solution, then press Next.

The method

To multiply fractions, multiply the numerators and the denominators, then simplify. To divide, flip the second fraction and multiply. The solution panel shows each step and gives the answer in lowest terms.

Worked Examples: Multiplying and Dividing Fractions

Each example shows the full method. Try it yourself first, then check.

1. Multiply with canceling: 3/4 × 8/9. Cancel 4 and 8 to 1 and 2, and cancel 3 and 9 to 1 and 3. Now multiply: 1/1 × 2/3 = 2/3.
2. Divide two fractions: 5/6 ÷ 10/9. Flip the second fraction and multiply: 5/6 × 9/10 = 45/60 = 3/4.
3. Multiply mixed numbers: 2½ × 1⅓. Change to improper fractions: 5/2 × 4/3 = 20/6 = 10/3 = 3⅓.
4. Divide mixed numbers: 3¾ ÷ 1½. Change to 15/4 ÷ 3/2, then 15/4 × 2/3 = 30/12 = 5/2 = 2½.

Canceling before you multiply keeps the numbers small, but it only works across a multiplication sign. Never cancel before you flip a divisor.

Multiply and Divide Fractions: Practice Set with Answers

Warm up with these six problems before you start the drill. Write each answer in simplest form.

1. 2/5 × 15/16
2. 7/8 ÷ 7/12
3. 4 ÷ 2/3
4. 1⅔ × 3/10
5. 5/9 ÷ 5
6. 2¼ ÷ ¾

Answers

1. 3/8
2. 3/2, or 1½
3. 6
4. 1/2
5. 1/9
6. 3

Missed one? Note which step went wrong, such as forgetting to flip, flipping the wrong fraction, or skipping the mixed number conversion, and watch for that step in the drill.

Frequently asked questions

How do you multiply and divide fractions step by step?

To multiply, multiply the numerators, multiply the denominators and simplify: 2/7 × 3/4 = 6/28 = 3/14. To divide, keep the first fraction, change ÷ to ×, and flip the second: 4/9 ÷ 2/3 = 4/9 × 3/2 = 12/18 = 2/3. Convert any mixed numbers to improper fractions before you start.

How do you multiply and divide fractions with whole numbers?

Write the whole number as a fraction over 1. For 5 × 3/10, you get 5/1 × 3/10 = 15/10 = 3/2, or 1½. For 6 ÷ 3/4, flip the divisor and multiply: 6/1 × 4/3 = 24/3 = 8. That makes sense, because eight pieces of size 3/4 fit into 6.

Does multiplying fractions need the same denominator?

No. Common denominators are needed for adding and subtracting fractions, not for multiplying or dividing. To multiply 1/3 × 2/5, just multiply straight across: 1 × 2 = 2 and 3 × 5 = 15, so the answer is 2/15. Finding a common denominator first would give the same result, with extra work.

Do you cross multiply when dividing fractions?

Not exactly. The standard method is to flip the second fraction and multiply straight across. The result looks like crossing, since (a/b) ÷ (c/d) = (a × d)/(b × c). For 3/5 ÷ 2/7, that gives (3 × 7)/(5 × 2) = 21/10. Cross multiplication itself is a method for solving proportions, so keep the two ideas separate.

Why does multiplying fractions work?

Multiplying fractions means taking a part of a part. To find 1/2 × 2/3, picture a rectangle cut into 2 columns and 3 rows, which makes 6 equal pieces. Shade 2 of the 3 rows, then take half of that shading. The overlap covers 2 of the 6 pieces, so 1/2 × 2/3 = 2/6 = 1/3.

Is multiplying and dividing fractions the same?

No, but they are closely linked, since dividing by a fraction is the same as multiplying by its reciprocal. They give different answers: 2/5 × 5/2 = 1, while 2/5 ÷ 5/2 = 2/5 × 2/5 = 4/25. A quick check is to estimate first. Dividing by a fraction greater than 1 gives a smaller answer.

Read the full lesson: learn the method step by step.

How to use Multiplying & Dividing Fractions Practice, Free Drills as real practice

Multiplying & Dividing Fractions Practice, Free Drills works best when it is used as a short, focused study session rather than a quick click-through activity. The goal is not simply to finish the problems. The goal is to notice which skills feel automatic, which skills still need review, and which mistakes happen when you rush.

Start with a clean piece of scratch paper. For each item, solve each item on paper first, then use the page to check your answer and study the explanation. If you get something wrong, do not immediately move on. Write the correct step, circle the part that caused the mistake, and try one similar item before continuing. That small correction habit is what turns an online practice activity into lasting math improvement.

A three-round study routine

This routine is simple, but it solves a common problem: students often practice only until an answer looks familiar. Real readiness means you can solve a fresh problem without hints, explain the first step, and check whether the final answer is reasonable.

What to write down while you practice

Keep a tiny mistake log next to the activity. You only need three columns: the topic, the mistake, and the correction. For example, a student might write “fractions,” “forgot common denominator,” and “rewrite both fractions before adding.” A log like that is more useful than a long list of scores because it tells you exactly what to review next.

• If the mistake is a fact or formula, review it before the next round.
• If the mistake is a setup error, copy one worked example and label each step.
• If the mistake is from rushing, slow down and require written work for the next five items.
• If the same mistake appears twice, stop and review that topic before continuing.

When you are ready to move on

You are ready for the next topic when you can get several items correct in a row and explain why the method works. A score by itself is helpful, but it is not the whole story. You should also be able to describe the rule, formula, or pattern that the activity is testing.

For test preparation, come back to Multiplying & Dividing Fractions Practice, Free Drills after a day or two and try a fresh round. If the skill still feels easy after a short break, it is much more likely to stay with you during a quiz, unit test, or standardized test. If it feels shaky, that is useful information too: it tells you exactly where to spend your next study session.

Study tips for parents and teachers

When using this page with a student, ask for the reasoning before the answer. Questions such as “What is the first step?”, “Why did you choose that operation?”, and “How can you check it?” help students build mathematical language. That matters because many test questions measure more than calculation; they also measure whether the student can read the problem, choose a method, and explain a result.

Short sessions are usually best. Ten to fifteen minutes of careful practice can be more productive than a long session full of guessing. End by naming one skill that improved and one skill to review next time. That keeps practice positive, specific, and easy to continue.

Your next practice step

After finishing Multiplying & Dividing Fractions Practice, Free Drills, choose one next step instead of trying to study everything at once. If the activity felt easy, increase the challenge by working faster, mixing in older topics, or explaining each answer without notes. If it felt difficult, lower the pressure: redo a smaller set, copy one correct example, and focus on accuracy before speed.

A useful rule is to review the same skill three times: once today, once tomorrow, and once later in the week. Spaced review is especially helpful for math because it tells you whether the method truly stuck or only felt familiar right after practice. Use this practice activity as one stop in that review cycle, then return to it when you want to check retention.