Question

7/12 + 1/8
7/12 is closer to:
1/8 is closer to:
Estimate:

Answer 1

To estimate the sum of \( \frac{7}{12} + \frac{1}{8} \), we can round each fraction to a fraction that is easier to work with.

1. **Estimate \( \frac{7}{12} \)**:
- \( \frac{7}{12} \) is approximately \( \frac{1}{2} \) (or \( \frac{6}{12} \)), since \( \frac{7}{12} \) is just slightly more than \( \frac{1}{2} \).

2. **Estimate \( \frac{1}{8} \)**:
- \( \frac{1}{8} \) is approximately \( \frac{1}{8} \) since it is already a simple fraction.

Now we can add the estimated fractions:

\[
\frac{1}{2} + \frac{1}{8}
\]

To add these two fractions, we need a common denominator. The least common multiple of 2 and 8 is 8.

So, we convert \( \frac{1}{2} \) to eighths:

\[
\frac{1}{2} = \frac{4}{8}
\]

Now we can add:

\[
\frac{4}{8} + \frac{1}{8} = \frac{5}{8}
\]

Thus, the estimates are as follows:
- \( \frac{7}{12} \) is closer to \( \frac{1}{2} \)
- \( \frac{1}{8} \) is closer to \( \frac{1}{8} \)
- **Estimated sum**: \( \frac{5}{8} \)