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. 1.

   Pia finds a complex fraction in the math club newsletter: -3/4 over 1/2, with one big fraction bar. What is its value?

   -3/2
2. 2.

   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
3. 3.

   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
4. 4.

   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
5. 5.

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

   -9/2
6. 6.

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

   -4/3
7. 7.

   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
8. 8.

   In a robot contest, each bump changes Noah's team score by -5/6 point. The robot bumps 9 times, and the change is shared equally by 5 judges. What is each judge's change?

   -3/2
9. 9.

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

   -6
10. 10.

    Ren's puzzle card says 3/4 × ? = -9/10, with a smiley face for luck. What is the missing number?

    -6/5