Multiplying and dividing fractions are central fifth-grade math skills that extend fraction work beyond addition and subtraction. Fifth graders multiply a fraction by a whole number, multiply two fractions by multiplying numerators and denominators, divide a unit fraction by a whole number, divide a whole number by a unit fraction using the reciprocal, and apply these operations to mixed numbers and real-world word problems.
The main challenge is that students multiply both numerator and denominator by a whole number instead of only the numerator, or confuse dividing by a fraction with dividing by its denominator alone. Students also struggle to see why dividing by a fraction less than one gives a result larger than the dividend. In Grade 4, students multiplied a fraction by a whole number; Grade 5 introduces fraction-by-fraction multiplication and unit fraction division.
Our multiplying and dividing fractions worksheets give fifth graders structured practice correcting multiplication and division errors, applying the reciprocal rule, using fraction vocabulary, multiplying fraction pairs and mixed numbers, dividing unit fractions and whole numbers, and solving multi-step real-world problems requiring fraction multiplication and division.
Worksheet Preview
Browse all 12 printable worksheets below — click any card to open the full page.
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
What's Included in This Download
What You'll Learn
These multiplying & dividing fractions worksheets help grade 5 students develop essential math skills through engaging activities.
Learning Objectives
- Multiply Fractions: Multiply numerators and denominators
- Mixed Numbers: Convert before multiplying or dividing
- Reciprocals: Find reciprocals to divide fractions
- Simplify Results: Reduce answers to lowest terms
- Word Problems: Solve real-world fraction multiplication and division problems
Skills Covered
How to Use These Worksheets
- Download & Print: Click the download button to get the PDF. Print on standard 8.5" x 11" paper.
- Start Simple: Begin with easier pages before moving to more challenging activities.
- Daily Practice: Dedicate 10-15 minutes each day for consistent learning.
- Use Manipulatives: Pair worksheets with physical objects like blocks or counters.
- Provide Encouragement: Celebrate progress and effort to build confidence.
- Check Progress: Use the included answer key to review work together.
Common Mistakes to Watch For
- Multiplying both numerator and denominator by a whole number — students compute 3 × 2/5 = 6/15 instead of 6/5 by applying the whole number to both parts of the fraction. When multiplying a whole number by a fraction, only the numerator is multiplied — the denominator stays the same.
- Confusing 1/4 ÷ 3 with 3 ÷ 1/4 — students compute 1/4 ÷ 3 = 3/4 by multiplying the numerator instead of the denominator. Dividing a unit fraction by a whole number multiplies the denominator: 1/4 ÷ 3 = 1/12. Dividing a whole number by a unit fraction multiplies by the reciprocal: 6 ÷ 1/2 = 6 × 2 = 12.
- Thinking a result smaller than 1 is impossible when multiplying two fractions — students expect 2/3 × 3/5 to be larger than 2/3 since multiplication 'makes numbers bigger.' Multiplying by a fraction less than 1 always gives a smaller result, because you are taking a part of a part.
Frequently Asked Questions
How do I multiply a fraction by a whole number?
Write the whole number as a fraction with a denominator of 1. Then multiply the numerators together and multiply the denominators together. For 3 × 2/5: write 3/1 × 2/5 = 6/5 = 1 1/5. The shortcut is to multiply only the numerator by the whole number and keep the denominator: 3 × 2 = 6, over 5, equals 6/5. Do not multiply the denominator — that would change the size of the parts. After multiplying, convert any improper fraction to a mixed number and simplify if possible.
How do I multiply two fractions together?
Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For 2/3 × 3/5: numerators 2 × 3 = 6, denominators 3 × 5 = 15, result is 6/15 = 2/5. Simplify by finding the GCF of numerator and denominator and dividing both. A shortcut is to cross-simplify before multiplying — divide a numerator and a diagonal denominator by their GCF first, which reduces the numbers you multiply and gives a simpler result.
How do I divide a unit fraction by a whole number?
To divide a unit fraction 1/n by a whole number w, multiply the denominator by the whole number: 1/n ÷ w = 1/(n × w). For example, 1/4 ÷ 3 = 1/12. Think of it as splitting the fraction into even more equal parts — if you divide a quarter into 3 equal pieces, each piece is 1/12. The numerator stays 1; the denominator gets larger. An alternate approach: keep the fraction, change division to multiplication, flip the whole number to its reciprocal — 1/4 × 1/3 = 1/12. Both methods give the same result.
Why does dividing a whole number by a unit fraction give a larger answer?
Dividing by a fraction less than 1 asks how many of those fractions fit into the whole number. For 6 ÷ 1/2: how many half-pieces fit into 6 wholes? Each whole contains 2 halves, so 6 wholes contain 6 × 2 = 12 halves. The result is larger because you are counting small pieces. The rule is: to divide by a unit fraction 1/n, multiply by its reciprocal n. So 6 ÷ 1/2 = 6 × 2 = 12, and 4 ÷ 1/3 = 4 × 3 = 12. Division by a fraction always means multiplying by the reciprocal.
How do I multiply or divide mixed numbers?
Convert each mixed number to an improper fraction first, then apply the multiplication or division rule. To convert 2 1/3: multiply the whole number by the denominator and add the numerator — 2 × 3 + 1 = 7, over 3, giving 7/3. Then multiply or divide the improper fractions. For 1 1/2 × 2/3: convert 1 1/2 to 3/2, then multiply 3/2 × 2/3 = 6/6 = 1. For division, convert both mixed numbers to improper fractions, then multiply by the reciprocal of the second fraction. Simplify the result and convert back to a mixed number if needed.
Are these worksheets really free?
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Can I use these in my classroom?
Absolutely! Teachers are welcome to print and use these worksheets in their classrooms. Make as many copies as needed for your students.