Illustrative Mathematics Grade 6 Unit 4 Dividing Fractions

Front

What is the process of dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Area = length × width.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the formula to find the number of cubes that fit in a box?

Back

To find the number of cubes that fit in a box, divide the volume of the box by the volume of one cube. Number of cubes = Volume of box / Volume of one cube.

Front

What is the value of 3/4 ÷ 1/5?

Back

3/4 ÷ 1/5 = 3/4 × 5/1 = 15/4 = 3 3/4.

Front

What is the value of 9/4 ÷ 2/3?

Back

9/4 ÷ 2/3 = 9/4 × 3/2 = 27/8 = 3 3/8.

Front

How do you find the width of a rectangle if you know the area and length?

Back

To find the width, divide the area by the length. Width = Area / Length.

Front

What is the relationship between the lengths of two bike rides if one is longer than the other?

Back

The relationship can be expressed as a ratio of the lengths. For example, if Mai biked 8 3/4 miles and Noah biked 3 1/2 miles, the ratio is 8 3/4 ÷ 3 1/2.