Illustrative Mathematics Grade 6 Unit 4 Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you divide 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 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

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you find the area of a triangle?

Back

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

Front

What is the area of a triangle with a base of 5 cm and a height of 4 cm?

Back

Area = (5 cm × 4 cm) / 2 = 10 cm².

Front

If Caroline has 1/2 of a bag of donuts and shares it with 3 friends, how much does each person get?

Back

Each person gets 1/8 of the bag.

Front

How many 1/4 cubes fit in a box with dimensions 2¼ inches by ¾ inches by 2½ inches?

Back

270 cubes fit in the box.

Front

What is 9/4 ÷ 2/3?

Back

9/4 ÷ 2/3 = 3⅜.

Front

What is the height of a triangle with an area of 7⅞ cm² and a base of 5¼ cm?

Back

The height is 3 cm.