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, 1/2 of 8 is 1/2 * 8 = 4.

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 fractions?

Back

Identify the key information, determine whether to multiply or divide, set up the equation, and solve.

Front

If Mr. Simpson feeds his dog 1/2 cup of food each day, how long will 4 cups last?

Back

4 cups ÷ 1/2 cup/day = 8 days.

Front

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

Back

1/2 * 1/3 = 1/6 of the pizza.

Front

How many 1/4 pound packages can be made from 4 pounds of fudge?

Back

4 pounds ÷ 1/4 pound/package = 16 packages.

Front

If Tydus wants to fill 6 containers with 3/4 cup of lemonade, how much lemonade does he need?

Back

6 * 3/4 = 18/4 = 4 1/2 cups of lemonade.