Question

Simplify 3 whole numbers 3/8 + 7 whole number 1/8

Answer 1

To simplify \( 3 \frac{3}{8} + 7 \frac{1}{8} \), start by converting the mixed numbers to improper fractions.

1. Convert \( 3 \frac{3}{8} \):
\[
3 \frac{3}{8} = 3 \times 8 + 3 = 24 + 3 = \frac{27}{8}
\]

2. Convert \( 7 \frac{1}{8} \):
\[
7 \frac{1}{8} = 7 \times 8 + 1 = 56 + 1 = \frac{57}{8}
\]

Now add the two improper fractions:
\[
\frac{27}{8} + \frac{57}{8} = \frac{27 + 57}{8} = \frac{84}{8}
\]

Next, simplify \( \frac{84}{8} \):
\[
\frac{84 \div 4}{8 \div 4} = \frac{21}{2}
\]

Now convert \( \frac{21}{2} \) back to a mixed number:
\[
\frac{21}{2} = 10 \frac{1}{2}
\]

So, the simplified form of \( 3 \frac{3}{8} + 7 \frac{1}{8} \) is:
\[
\boxed{10 \frac{1}{2}}
\]