Grade 7 · Math

7th grade Multiply and divide fractions and decimals, including negatives and fractions of fractions worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Pia finds a complex fraction in the math club newsletter: -3/4 over 1/2, with one big fraction bar. What is its value?
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?
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?
Ari has a bright idea about this puzzle: a pair of numbers that multiply nicely. What is (-3/4) × 5/6 × 8/3?
Bo slices a pizza and spots a friendly pair in this puzzle. What is 12/5 × (-9/4) × 5/6?
Esme's cat sits on a puzzle with three negative numbers. What is (-4/9) × (-2/5) × (-15/2)?
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?
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?
Pia fills in a balance puzzle: (-2/3) × ? = 4. What is the missing number?
Ren's puzzle card says 3/4 × ? = -9/10, with a smiley face for luck. What is the missing number?

Multiply and divide fractions and decimals, including negatives. Every version has 10 questions, and the answer key prints on the second page.

I can multiply and divide fractions and decimals, including negative ones, and say which side of 0 the answer is on.
I can read a fraction with a fraction on top and a fraction on the bottom (a complex fraction) as a division and find its value.
I can spot a pair of numbers that multiply to a whole number and use it as a shortcut, and I can work back from a product to a missing factor.

Standard: 7.NS.A.2c, 7.NS.A.3 (complex fractions)

product: The answer to multiplying.

quotient: The answer to dividing.

jump: A move along the number line. Negative jumps point left.

complex fraction: A fraction with a fraction on top, on the bottom, or both.

factor: A number you multiply, like 3/4 and 8/3 in 3/4 × 8/3.

Your child got the right size but the wrong sign on the answer.

Your child added the two numbers when the question multiplied them.

Your child divided when the question asked for part of an amount.

Ask: how many of the numbers are negative, and does that make the answer left or right of 0?

Ask: if you take 3 jumps of the same size on a number line, is that one jump or three?

Ask: is 2/3 of a move longer or shorter than the whole move?

What is the most common mistake with multiply and divide fractions and decimals, including negatives and fractions of fractions?

Your child got the right size but the wrong sign on the answer.

How can I help my child with multiply and divide fractions and decimals, including negatives and fractions of fractions?

Ask: how many of the numbers are negative, and does that make the answer left or right of 0?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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