Dividing Fractions + Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you divide fractions?

Back

To divide fractions, 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 its numerator and denominator.

Front

What does it mean to divide by a whole number?

Back

Dividing a fraction by a whole number means you are splitting the fraction into that many equal parts.

Front

What is the result of 1/2 ÷ 3?

Back

1/2 ÷ 3 = 1/2 × 1/3 = 1/6.

Front

How do you solve word problems involving fractions?

Back

Identify the total, determine how the fractions relate to the total, and perform the necessary operations.

Front

If a dog eats 2/5 lb of food, how many dogs can be fed with 30 lb of food?

Back

30 ÷ (2/5) = 30 × (5/2) = 75 dogs.

Front

What is 5/8 ÷ 2?

Back

5/8 ÷ 2 = 5/8 × 1/2 = 5/16.

Front

What is 2 ÷ 1/4?

Back

2 ÷ 1/4 = 2 × 4/1 = 8.

Front

How do you find the total when sharing equally?

Back

Divide the total amount by the number of people sharing.