Calculate 3/4 of 8 Pizza Slices: Fraction Word Problem

Q: Why do I multiply instead of divide when finding a fraction of something?

Think of it this way: "fraction of" means multiply! When you want $ \frac{3}{4} $ of 8 slices, you're taking 3 parts out of every 4 parts of the total.

Q: Can I just divide 8 by 4 and then multiply by 3?

Yes, that works too! Since $ \frac{3}{4} $ of 8 means 3 groups of $ \frac{8}{4} $, you get 3 × 2 = 6. Both methods give the same answer!

Q: What if the answer isn't a whole number?

Sometimes you can eat part of a slice! For example, $ \frac{1}{3} $ of 8 slices = $ \frac{8}{3} = 2\frac{2}{3} $ slices, which means 2 whole slices plus two-thirds of another slice.

Q: How can I check if my answer makes sense?

Ask yourself: Is my answer less than the total? Since Daniel ate $ \frac{3}{4} $ (less than the whole pizza), he should eat fewer than 8 slices. Our answer of 6 makes sense!

Q: What's the easiest way to multiply fractions by whole numbers?

Multiply the numerator by the whole number, keep the denominator the same, then simplify: $ \frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6 $

Fraction Multiplication with Whole Numbers

Daniel eats $\frac{3}{4}$ of a pizza made up of 8 slices.

How many slices does Daniel eat?

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Step-by-step written solution

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Understand the problem

Daniel eats $\frac{3}{4}$ of a pizza made up of 8 slices.

How many slices does Daniel eat?

Step-by-step solution

To solve this problem, let's follow these steps:

Step 1: Identify the total number of slices, which is 8.
Step 2: Multiply by the fraction that Daniel eats, $\frac{3}{4}$ .

Now, let's perform the calculation:
$\frac{3}{4} \times 8$

The multiplication can be done by first rewriting 8 as a fraction:

$8 = \frac{8}{1}$

Thus the calculation becomes:
$\frac{3}{4} \times \frac{8}{1} = \frac{3 \times 8}{4 \times 1} = \frac{24}{4}$

Now, simplify $\frac{24}{4}$ by dividing the numerator by the denominator:
$\frac{24}{4} = 6$

Therefore, Daniel eats 6 slices of pizza.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: To find a fraction of a whole number, multiply fraction by whole
Technique: $\frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6$
Check: Verify 6 out of 8 slices equals $\frac{6}{8} = \frac{3}{4}$ ✓

Common Mistakes

Avoid these frequent errors

Adding the fraction to the whole number instead of multiplying
Don't add $\frac{3}{4} + 8 = 8\frac{3}{4}$ slices! This gives way too many slices because you're combining instead of taking a part. Always multiply the fraction by the total to find the portion.

Practice Quiz

Test your knowledge with interactive questions

Fill in the missing sign:

$\frac{5}{25}☐\frac{1}{5}$

FAQ

Everything you need to know about this question

Why do I multiply instead of divide when finding a fraction of something?

Think of it this way: "fraction of" means multiply! When you want $\frac{3}{4}$ of 8 slices, you're taking 3 parts out of every 4 parts of the total.

Can I just divide 8 by 4 and then multiply by 3?

Yes, that works too! Since $\frac{3}{4}$ of 8 means 3 groups of $\frac{8}{4}$ , you get 3 × 2 = 6. Both methods give the same answer!

What if the answer isn't a whole number?

Sometimes you can eat part of a slice! For example, $\frac{1}{3}$ of 8 slices = $\frac{8}{3} = 2\frac{2}{3}$ slices, which means 2 whole slices plus two-thirds of another slice.

How can I check if my answer makes sense?

Ask yourself: Is my answer less than the total? Since Daniel ate $\frac{3}{4}$ (less than the whole pizza), he should eat fewer than 8 slices. Our answer of 6 makes sense!

What's the easiest way to multiply fractions by whole numbers?

Multiply the numerator by the whole number, keep the denominator the same, then simplify: $\frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6$

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