Dividing Fractions Word Problems - Free Printable

Let's solve the word problem step by step and explain the solution clearly.

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Problem:

You have three-fourths yard of pipe.
How many pieces can you cut the pipe into if each piece is one-eighth yard?

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Step 1: Understand what's being asked

We are dividing a total length of pipe (¾ yard) into smaller pieces, each of length ⅛ yard.
We want to know how many such pieces we can get.

This is a division of fractions problem:
> How many ⅛s are in ¾?

So, we need to compute:

$$
\frac{3}{4} \div \frac{1}{8}
$$

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Step 2: Use the rule for dividing fractions

To divide fractions, multiply by the reciprocal of the divisor:

$$
\frac{3}{4} \div \frac{1}{8} = \frac{3}{4} \times \frac{8}{1}
$$

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Step 3: Multiply the fractions

$$
\frac{3}{4} \times \frac{8}{1} = \frac{3 \times 8}{4 \times 1} = \frac{24}{4}
$$

Now simplify:

$$
\frac{24}{4} = 6
$$

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Final Answer:

$$
\boxed{6}
$$

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✔ Answer: You can cut the pipe into 6 pieces, each one-eighth yard long.

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🔍 Explanation:

- You start with ¾ yard.
- Each piece is ⅛ yard.
- Since ⅛ fits into ¾ exactly 6 times, you can make 6 pieces.

You can also think of it this way:
- 1 yard has 8 eighths → so ¾ yard has $ \frac{3}{4} \times 8 = 6 $ eighths.

That confirms the answer: 6 pieces.

✔ Correct!