Say the size check before solving
Multiplying by a number less than 1 shrinks the amount; dividing by a number less than 1 grows it. Predicting the direction first catches most sign-of-magnitude slips.
Practice sets
Multiplying and Dividing Fractions Worksheets
Three printable practice sets with answer keys: multiplication, division, and a mixed review that trains the choice between the two rules. Every problem can be verified in the step-by-step tools linked at the bottom of the page.
- printable practice sets
- answers included
- multiply across
- keep change flip
The two rules
Which rule does the problem need?
a/b × c/d = (a×c)/(b×d)
Multiplication: multiply straight across — no common denominators, ever — then simplify.
a/b ÷ c/d = a/b × d/c
Division: keep the first fraction, flip only the divisor, then multiply across and simplify.
Mixed numbers convert to improper fractions before either rule runs: 2 1/2 becomes 5/2. Answers finish in lowest terms, with improper fractions regrouped into mixed numbers.
Worksheet 1: Multiplying Fractions
Multiply straight across — no common denominators — then simplify.
Multiply. Simplify each product and write improper answers as mixed numbers.
- 1.11/2 × 1/3 =
- 1.22/3 × 3/4 =
- 1.33/5 × 2/5 =
- 1.41/4 × 2/3 =
- 1.55 × 2/3 =
- 1.62 1/2 × 1 1/3 =
- 1.73/8 × 4/9 =
- 1.87/10 × 5/6 =
Worksheet 2: Dividing Fractions
Keep the first fraction, flip the divisor, multiply across.
Divide. Simplify each quotient and write improper answers as mixed numbers.
- 2.11/2 ÷ 1/4 =
- 2.23/4 ÷ 1/8 =
- 2.32/3 ÷ 1/3 =
- 2.45/6 ÷ 1/2 =
- 2.53 ÷ 1/3 =
- 2.61 1/2 ÷ 2 =
- 2.72 1/4 ÷ 1 1/2 =
- 2.87/8 ÷ 7/8 =
Worksheet 3: Mixed Review — Which Rule?
Multiplication multiplies across; division flips the divisor. Spot the operation first.
Multiply or divide. Before solving, say which rule the problem needs and whether the answer should grow or shrink.
- 3.12/5 × 5/8 =
- 3.23/4 ÷ 3/8 =
- 3.31/3 × 1 1/2 =
- 3.45/6 ÷ 5 =
- 3.54/9 × 3/4 =
- 3.61 2/3 ÷ 5/6 =
- 3.73/10 × 2 1/2 =
- 3.82 1/3 ÷ 1 5/9 =
Answer key
Check your work
Every answer is simplified, with improper fractions regrouped into mixed numbers. For any missed problem, verify it in the tool at the bottom of the page and name the rule at each step.
1: Multiplying Fractions
- 1.1/6
- 2.1/2
- 3.6/25
- 4.1/6
- 5.3 1/3
- 6.3 1/3
- 7.1/6
- 8.7/12
2: Dividing Fractions
- 1.2
- 2.6
- 3.2
- 4.1 2/3
- 5.9
- 6.3/4
- 7.1 1/2
- 8.1
3: Mixed Review — Which Rule?
- 1.1/4
- 2.2
- 3.1/2
- 4.1/6
- 5.1/3
- 6.2
- 7.3/4
- 8.1 1/2
How to use these sheets
Convert mixed numbers before anything else
Both operations want one fraction per number. Rewrite 2 1/2 as 5/2 before multiplying across or flipping a divisor.
Simplify every answer
6/36 and 1/6 name the same amount, but the simplified form is the expected finish. Reduce top and bottom by their greatest common factor.
Check a quotient by multiplying back
The quotient times the divisor must rebuild the dividend: for 3/4 ÷ 1/8 = 6, check 6 × 1/8 = 6/8 = 3/4.
The best check for a wrong answer is not the key alone — it is replaying the problem in a tool that names each step. Both tools below accept any problem from these worksheets.
Common questions
Multiplying and Dividing Fractions Worksheets FAQ
Each worksheet is a printable set of eight problems with its answers included at the end of the page. Worksheet 1 practices multiplication, Worksheet 2 practices division, and Worksheet 3 mixes both so the solver has to identify the operation and choose the rule before computing.