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) * (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) * (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 1/2 of 8, calculate 1/2 * 8 = 4.

Front

If Deandre has 8 pints of milk and drinks 1/4 pint each day, how long will it last?

Back

32 days (8 ÷ 1/4 = 8 * 4 = 32).

Front

How much total meat did Jackson's mother buy if she bought 4 packs of 2/3 pound each?

Back

2 2/3 lbs (4 * 2/3 = 8/3 = 2 2/3).

Front

If Mrs. Diego has 3 cups of sugar and divides it into containers of 1/3 cup, how many containers can she fill?

Back

9 containers (3 ÷ 1/3 = 3 * 3 = 9).

Front

What fraction of a pizza does Rachel eat if she eats 1/2 of 1/3 of a pizza?

Back

1/6 of a pizza (1/2 * 1/3 = 1/6).

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 is the least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be a common denominator for two or more fractions.