Multiplying and 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 multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

How do you divide fractions?

Back

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

Front

What does it mean to find a fraction of a quantity?

Back

Finding a fraction of a quantity means multiplying the quantity by the fraction. For example, to find 1/4 of 20, calculate 20 x 1/4 = 5.

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

If George has 1/3 of a pan of brownies and eats 1/4 of them, how do you find out how much he ate?

Back

Multiply 1/3 by 1/4: (1/3) x (1/4) = 1/12.

Front

How do you find a fraction of a fraction?

Back

To find a fraction of a fraction, multiply the two fractions together. For example, (1/2) of (1/3) = (1/2) x (1/3) = 1/6.

Front

What is the process to divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, (1/2) ÷ 3 = 1/(2*3) = 1/6.

Front

If Bradley had 1/2 of a pizza and ate 3/5 of it, how much pizza did he eat?

Back

Multiply 1/2 by 3/5: (1/2) x (3/5) = 3/10.

Front

What is the formula to find the amount of each part when dividing a fraction?

Back

To find the amount of each part when dividing a fraction, divide the numerator by the number of parts. For example, (3/4) ÷ 6 = (3/4) x (1/6) = 3/24 = 1/8.