Mani had a pizza cut into 16 equal parts, if he ate 14 pieces and he gave two pieces to his friend, what fraction of the pizza did his friend ate?

Options

A. `1/8`
B. `2/4`
C. `3/4`
D. `1/4`

Answer

To solve the problem step by step, we can follow these instructions:

**Step 1: Understand the total number of pizza pieces.**
Mani had a pizza cut into 16 equal parts.

**Step 2: Identify how many pieces Mani gave to his friend.**
Mani gave 2 pieces to his friend.

**Step 3: Determine the fraction of the pizza that his friend ate.**
To find the fraction of the pizza that his friend ate, we need to take the number of pieces his friend ate (which is 2) and divide it by the total number of pieces in the pizza (which is 16).

So, the fraction is:
\[ \text{Fraction eaten by friend} = \frac{\text{Number of pieces given to friend}}{\text{Total number of pieces}} = \frac{2}{16} \]

**Step 4: Simplify the fraction.**
Now, we can simplify \(\frac{2}{16}\):
\[ \frac{2}{16} = \frac{1}{8} \]

Thus, the fraction of the pizza that Mani's friend ate is \(\frac{1}{8}\).