Back to Exercise: Interpret and compute quotients of fractions

Interpret and Compute Quotients of Fractions

Show all steps. For invert-and-multiply problems, write the reciprocal of the divisor before multiplying. Check your answer by multiplying: (divisor) × (quotient) should equal the dividend.

Grade 6·22 problems·~40 min·Common Core Math - Grade 6·standard·6-ns-a-1
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A

Recall / Warm-Up

1.

Which pair of fractions are reciprocals of each other?

2.

What is the reciprocal of 35\frac{3}{5}?

Number line from 0 to 1 divided into fourths. The interval from 0 to 3/4 is highlighted, containing three segments of length 1/4 each.
3.

A number line from 0 to 1 is divided into fourths. The segment from 0 to 34\frac{3}{4} contains how many 14\frac{1}{4}-length segments?

B

Fluency Practice

1.

Which word problem matches the expression 12÷3\frac{1}{2} \div 3?

Unit square with a teal rectangle occupying 3/4 of the width and 2/3 of the height, showing area = 1/2 sq mi. The width is labeled 3/4 mi and the height is labeled with a question mark.
2.

Use the area model: a rectangle with area 12\frac{1}{2} sq mi and length 34\frac{3}{4} mi. What is the width?

3.

Compute 23÷34\frac{2}{3} \div \frac{3}{4}. Show the reciprocal of the divisor and the product.

4.

Compute 56÷23\frac{5}{6} \div \frac{2}{3}. Express your answer as a mixed number if the result is greater than 1.

5.

Compute 34÷38\frac{3}{4} \div \frac{3}{8}.

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