**Fractions in Word Problems**

Word problems involving fractions are performed using the same procedure as those involving whole numbers.

**Examples**

**Example 1**

A plumber needs to install a sink using pieces of pipe measuring inches, inches, inches and inches. Find the total length of the pipe needed to cut all the pieces.

**Solutions 1**

Since we are finding a total, we use addition:

The plumber would need a piece of pipe at least inches long.

**Example 2**

It takes Bill hours to cut a lawn. It takes Walter hours to cut the same lawn. How much faster is Bill?

**Solution 2**

Since we are looking for a difference, we subtract:

It takes Bill of an hour less to cut the lawn.

**Example 3**

How much will a trip of 212 miles cost if the allowance is cents per mile?

**Solution 3**

Multiply:

To change cents to dollars, divide by 100.

5883 ÷ 100 = $58.83

Hence the allowance for the trip is $58.83.

**Example 4**

How many cubic feet will a 240-gallon tank hold if one cubic foot of water is about gallons?

**Solution 4**

Divide:

Hence, the tank will hold about 32 cubic feet of water.

**Fractions in Word Problems Practice Problems**

**Practice**

l. A recipe calls for cups of flour. If the baker wishes to make the cake 4 times as large as the original recipe, how many cups of flour should she use?

2. A inch bolt is placed through a piece of wood that is inches thick. How much of the bolt is extending out?

3. In order to make a support beam, a carpenter nails together a piece of wood that is inches thick with a piece of wood that is inches thick. How thick is the support?

4. A sign is to be inches wide. How many signs can be cut from a piece of card stock that is inches wide?

5. A person decided to buy an automobile that costs $19,500 with paid in cash and the balance paid in 12 monthly installments. How much is the down payment and each monthly payment?

**Answers**

1. 9 cups

2.

3.

4. 5

6. $7800;$975

Practice problems for these concepts can be found at: More Advanced Fractions Practice Test.

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