Dividing Fractions Word Problems

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 a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 3/4 ÷ 2 = 3/(4×2) = 3/8.

Front

What does it mean to share equally?

Back

Sharing equally means dividing something into equal parts so that each person gets the same amount.

Front

How do you find the amount each person gets when sharing a fraction?

Back

To find the amount each person gets, divide the fraction by the number of people sharing it.

Front

If 1/2 of a pizza is shared among 4 people, how much does each person get?

Back

1/2 ÷ 4 = 1/8. Each person gets 1/8 of the pizza.

Front

What is the formula for 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 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 fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It involves reducing the fraction to its lowest terms.

Front

If you have 3/5 of a cake and want to share it with 5 friends, how much does each friend get?

Back

3/5 ÷ 5 = 3/25. Each friend gets 3/25 of the cake.