Illustrative Mathematics Grade 6 Unit 4 Dividing Fractions

Front

What is the result of dividing a fraction by another fraction?

Back

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the area of a triangle formula?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

If Mai biked 8 3/4 miles and Noah biked 3 1/2 miles, how do you find how many times farther Mai biked than Noah?

Back

Divide Mai's distance by Noah's distance: (8 3/4) ÷ (3 1/2) = 5/2 times as far.

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How do you split a fraction evenly among a group?

Back

To split a fraction evenly among a group, divide the fraction by the number of people in the group.

Front

What is 3/4 ÷ 1/5?

Back

3/4 ÷ 1/5 = 3/4 × 5/1 = 15/4 = 3 3/4.

Front

What is the width of a rectangle if the area is 8 3/4 square inches and the length is 3 1/2 inches?

Back

Width = Area ÷ Length = (8 3/4) ÷ (3 1/2) = 2 1/2 inches.

Front

What does it mean to divide fractions?

Back

Dividing fractions involves finding out how many times one fraction fits into another.