Multiply and divide fractions and decimals, including negatives and fractions of fractions

Grade 7 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. A fraction bar with 2/5 above it and -3/10 below it. A complex fraction arrives in Ren's envelope: 2/5 on top of the bar and -3/10 on the bottom. What is its value?

  2. A whale that Zee tracks for a science poster changes depth by -5/8 m in 1/4 minute. What is the change in depth for a whole minute?

  3. Ari has a bright idea about this puzzle: a pair of numbers that multiply nicely. What is (-3/4) × 5/6 × 8/3?

  4. Bo slices a pizza and spots a friendly pair in this puzzle. What is 12/5 × (-9/4) × 5/6?

  5. Esme's cat sits on a puzzle with three negative numbers. What is (-4/9) × (-2/5) × (-15/2)?

  6. In a spelling bee, each missed word changes Luz's team score by -0.75 point. The team misses 6 words, and the change is shared equally by 5 players. What is each player's change?

  7. In a relay game, each bonus round changes Milo's team score by 0.75 point. The team wins 8 bonus rounds, and the change is shared equally by 3 players. What is each player's change?

  8. Pia fills in a balance puzzle: (-2/3) × ? = 4. What is the missing number?

  9. Tala writes (-0.4) × ? = 0.5 on the board and dares the class to solve it. What is the missing number?

  10. At school, Zee sees (-0.5) × ? = -0.8 on the door of the math room. What is the missing number?

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Multiply and divide fractions and decimals, including negatives and fractions of fractions

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. A fraction bar with 2/5 above it and -3/10 below it. A complex fraction arrives in Ren's envelope: 2/5 on top of the bar and -3/10 on the bottom. What is its value?

    -4/3
  2. A whale that Zee tracks for a science poster changes depth by -5/8 m in 1/4 minute. What is the change in depth for a whole minute?

    -5/2
  3. Ari has a bright idea about this puzzle: a pair of numbers that multiply nicely. What is (-3/4) × 5/6 × 8/3?

    -5/3
  4. Bo slices a pizza and spots a friendly pair in this puzzle. What is 12/5 × (-9/4) × 5/6?

    -9/2
  5. Esme's cat sits on a puzzle with three negative numbers. What is (-4/9) × (-2/5) × (-15/2)?

    -4/3
  6. In a spelling bee, each missed word changes Luz's team score by -0.75 point. The team misses 6 words, and the change is shared equally by 5 players. What is each player's change?

    -0.9
  7. In a relay game, each bonus round changes Milo's team score by 0.75 point. The team wins 8 bonus rounds, and the change is shared equally by 3 players. What is each player's change?

    2
  8. Pia fills in a balance puzzle: (-2/3) × ? = 4. What is the missing number?

    -6
  9. Tala writes (-0.4) × ? = 0.5 on the board and dares the class to solve it. What is the missing number?

    -1.25
  10. At school, Zee sees (-0.5) × ? = -0.8 on the door of the math room. What is the missing number?

    1.6