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.

   Tala reads a complex fraction in a math book, with -7/8 on top and -3/4 on the bottom. What is its value?

   7/6
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.

   In a trivia game, each wrong answer changes Kira's team score by -3/4 point. The team gives 6 wrong answers, and the change is shared equally by 4 players. What is each player's change?

   -9/8
6. 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. 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. 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.

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

   -6/5
10. 10.

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

    -1.25