A family ordered 2 large pizzas for lunch. They ate [tex]\(\frac{7}{8}\)[/tex] of one pizza and [tex]\(\frac{1}{4}\)[/tex] of the other pizza. How much pizza was left?

A. [tex]\(\frac{1}{8}\)[/tex]

B. [tex]\(\frac{3}{8}\)[/tex]

C. [tex]\(\frac{7}{8}\)[/tex]

D. [tex]\(\frac{5}{4}\)[/tex]



Answer :

To solve the problem of how much pizza is left, follow these steps:

1. Identify the total amount of pizza ordered:
The family ordered 2 large pizzas.

2. Determine how much pizza has been eaten:

- They ate [tex]\(\frac{7}{8}\)[/tex] of one pizza.
- They also ate [tex]\(\frac{1}{4}\)[/tex] of the other pizza.

3. Calculate the total amount of pizza eaten:

- The fraction of the first pizza eaten: [tex]\(\frac{7}{8}\)[/tex]
- The fraction of the second pizza eaten: [tex]\(\frac{1}{4}\)[/tex]

To add these fractions, we need a common denominator. The least common denominator between 8 and 4 is 8.

- Converting [tex]\(\frac{1}{4}\)[/tex] to an equivalent fraction with a denominator of 8:
[tex]\[ \frac{1}{4} = \frac{2}{8} \][/tex]

- Now we can add the fractions:
[tex]\[ \frac{7}{8} + \frac{2}{8} = \frac{9}{8} \][/tex]

4. Calculate the remaining pizza:
The family started with 2 whole pizzas. We need to subtract the total amount eaten ([tex]\(\frac{9}{8}\)[/tex]) from the total pizza ([tex]\(2\)[/tex]).

- First, express the total number of pizzas as a fraction with a denominator of 8:
[tex]\[ 2 = \frac{16}{8} \][/tex]

- Now, subtract the amount eaten from the total amount:
[tex]\[ \frac{16}{8} - \frac{9}{8} = \frac{7}{8} \][/tex]

So, the amount of pizza left is [tex]\(\frac{7}{8}\)[/tex].

Hence, the correct answer is:
[tex]\(\frac{7}{8}\)[/tex].