Compute 1 1/2 ÷ (-7/5). Use the signed-number rules and simplify exactly.
Exact result: ____________________
CCSS 7.NS.A.2a–c · signed multiplication & division
Multiply and Divide Rational Numbers Worksheet Generator
Practice products and quotients across signed rational forms while preserving exact values. Division problems never use a zero divisor, and answers are generated from rational arithmetic instead of decimal approximations.
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Multiply & Divide Rational Numbers
Multiply & divide rational numbers · Grade 7 standard · Seed 271701
1.
2.
Compute 16/5 ÷ 1.5. Use the signed-number rules and simplify exactly.
Exact result: ____________________
3.
Compute 4 ÷ (-3 1/2). Use the signed-number rules and simplify exactly.
Exact result: ____________________
4.
Compute 3 1/3 × 27/8. Use the signed-number rules and simplify exactly.
Exact result: ____________________
5.
Compute -7/6 ÷ 5/2. Use the signed-number rules and simplify exactly.
Exact result: ____________________
6.
Compute 5 1/6 ÷ (-3.5). Use the signed-number rules and simplify exactly.
Exact result: ____________________
7.
Compute -1/5 × (-2). Use the signed-number rules and simplify exactly.
Exact result: ____________________
8.
Compute -4 ÷ (-3 3/4). Use the signed-number rules and simplify exactly.
Exact result: ____________________
9.
Compute -13/4 ÷ 31/8. Use the signed-number rules and simplify exactly.
Exact result: ____________________
10.
Compute -2 1/5 × 5/8. Use the signed-number rules and simplify exactly.
Exact result: ____________________
Exact-construction rule: operations use normalized integer numerator/denominator pairs, number-line positions use exact ticks, repeating decimals come from remainder cycles, and money contexts use exact cents. No answer depends on binary floating-point rounding.
Teaching note 1
Decide the sign first, then multiply or divide the absolute values.
Teaching note 2
For fraction division, multiply by the reciprocal of the nonzero divisor.
Teaching note 3
Use the distributive and other operation properties to explain why signed-number rules remain consistent.
Continue the 7.NS progression
Move to another Grade 7 rational-number skill
Frequently asked questions
Can a divisor ever be zero?
No. The generator excludes zero divisors by construction.
Do challenge problems include mixed numbers?
Yes. Challenge mode uses a broader mix of signed fractions, decimals, mixed numbers, and integers.