Education.com
Try
Brainzy
Try
Plus

# Fraction Word Problems Study Guide (page 3)

based on 3 ratings
By
Updated on Oct 3, 2011

## Dividing Fractions

Dividing fractions is very similar to multiplying fractions. When you are dividing, change the problem so that you are multiplying by the reciprocal of the divisor. Then, multiply the fractions as usual. For example, in order to divide , ﬁrst change the problem to multiplication by multiplying by the reciprocal. The reciprocal of a fraction switches the numerator and the denominator. For example, the reciprocal of is . The problem becomes . Now cross cancel the common factors and multiply across: . As in multiplication, when you are dividing mixed numbers, change them to improper fraction form ﬁrst and then follow the same steps as before.

## Fraction Word Problems

Now it is time to apply this knowledge of fractions and operations with fractions to math word problems. Use the following sample question as an example, and then try the practice questions that follow to test your skills.

#### Example

Jamie needs yards of material for her school project. If she will bring in enough material for herself and three classmates, how much material does she need altogether?

Read and understand the question. Jamie needs material for herself and three others, so she needs four times the number of yards for one person.

Make a plan. Use key words to help solve this problem. The key word altogether in this context suggests multiplication. Multiply the number of yards for one person by 4 to find the total amount.

Carry out the plan. = 3. Jamie needs a total of 3 yards of material for herself and three classmates.

Check your answer. One way to check the result is to divide the total amount needed by the number of people. Three yards divided by 4 people = 3 ÷ 4 = yard per person. This solution is checking.

Find practice problems and solutions for these concepts at Fraction Word Problems Practice Questions.

150 Characters allowed

### Related Questions

#### Q:

See More Questions

### Today on Education.com

Top Worksheet Slideshows