Multiplying and Dividing Fractions with Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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 is the product of 3/4 and 2/3?

Back

The product is 1/2.

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 is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator and add the numerator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the first step in solving a word problem involving fractions?

Back

Read the problem carefully to understand what is being asked and identify the fractions involved.

Front

In Maddie’s garden, 1/3 of her plants are tomatoes. If 2/5 of those tomatoes are ripe, how do you find the fraction of ripe tomatoes?

Back

Multiply the fractions: (1/3) * (2/5) = 2/15.

Front

What is the total amount of butter in each part if Anthony divided 3/4 of a pound into 6 equal parts?

Back

Each part contains 1/8 lb of butter.

Front

How do you find out how many containers can be filled with a given amount of liquid?

Back

Divide the total amount of liquid by the volume of each container.