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

Question

Daniel eats 34 \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, 34 \frac{3}{4} .

Now, let's perform the calculation:
34×8 \frac{3}{4} \times 8

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

8=81 8 = \frac{8}{1}

Thus the calculation becomes:
34×81=3×84×1=244 \frac{3}{4} \times \frac{8}{1} = \frac{3 \times 8}{4 \times 1} = \frac{24}{4}

Now, simplify 244 \frac{24}{4} by dividing the numerator by the denominator:
244=6 \frac{24}{4} = 6

Therefore, Daniel eats 6 slices of pizza.

Answer

6