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

What does it mean to divide fractions?

Back

Dividing fractions involves multiplying 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

How do you solve a word problem involving multiplication of fractions?

Back

Identify the quantities involved, determine if you need to multiply, and then multiply the fractions to find the total.

Front

How do you solve a word problem involving division of fractions?

Back

Identify the quantities involved, determine if you need to divide, and then multiply by the reciprocal of the fraction.

Front

If Jackson’s mother buys 4 packs of hamburger meat, each containing 2/3 of a pound, how much total meat did she buy?

Back

4 * (2/3) = 8/3 or 2 2/3 pounds.

Front

If you have 2/3 quart of lemonade and pour it into 6 glasses, how much does each glass contain?

Back

(2/3) ÷ 6 = (2/3) * (1/6) = 2/18 = 1/9 quart.

Front

A fudge company makes 4 pounds of fudge. If each package contains 1/4 pound, how many packages can be made?

Back

4 ÷ (1/4) = 4 * 4 = 16 packages.

Front

If 1/3 of a pizza remains and Rachel eats 1/2 of it, what fraction of the pizza does she eat?

Back

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