Multiplying and Dividing Rational Numbers
A Grade 7 math worksheet focusing on multiplying and dividing rational numbers, including fractions, decimals, and integers.
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Multiplying and Dividing Rational Numbers
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Read each question carefully and show your work. Simplify all answers to their lowest terms.
Multiply the following fractions. Simplify your answers.
1. (3/4) × (2/5) =
2. (-1/3) × (6/7) =
3. (5/8) × (-4/15) =
4. (-2/9) × (-3/4) =
Divide the following fractions. Simplify your answers.
5. (1/2) ÷ (3/4) =
6. (-5/6) ÷ (10/3) =
7. (7/8) ÷ (-14/16) =
8. (-2/3) ÷ (-4/9) =
Perform the indicated operations with decimals.
9. 3.5 × (-2.1) =
10. -0.75 × 4.2 =
11. 8.4 ÷ (-0.6) =
12. -12.5 ÷ (-0.5) =
13. Which of the following expressions has a positive product?
(-2) × (3/4)
(1/2) × (-0.5)
(-0.1) × (-10)
(5) × (-0.2)
14. What is the reciprocal of -3/8?
3/8
8/3
-8/3
-3/8
Solve the following word problems. Show your work.
15. A recipe calls for 2/3 cup of flour. If you want to make 1 and a half batches of the recipe, how much flour do you need?
16. A submarine descends at a rate of 0.8 meters per second. How far will it descend in 15.5 seconds?