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].
