Question

expression 1/8 plus 2/5
Estimate


expression 13/14-1/10
Estimate

expression 1/12+1/20
expression


0
1
1/2

Answer 1

To estimate the values of the given expressions, we can round the fractions to simpler numbers.

### Estimation for \( \frac{1}{8} + \frac{2}{5} \):

- \( \frac{1}{8} \) is approximately \( 0.125 \) which is closest to \( 0 \).
- \( \frac{2}{5} \) is \( 0.4 \) which is closest to \( 0.5 \).

Adding the estimates:
\[ 0 + 0.5 \approx 0.5 \]

### Estimation for \( \frac{13}{14} - \frac{1}{10} \):

- \( \frac{13}{14} \) is approximately \( 0.93 \) which is closest to \( 1 \).
- \( \frac{1}{10} \) is \( 0.1 \).

Subtracting the estimates:
\[ 1 - 0.1 \approx 0.9 \]

### Estimation for \( \frac{1}{12} + \frac{1}{20} \):

- \( \frac{1}{12} \) is approximately \( 0.083 \) which is closest to \( 0 \).
- \( \frac{1}{20} \) is \( 0.05 \) which is also closest to \( 0 \).

Adding the estimates:
\[ 0 + 0 \approx 0 \]

### Final Estimates:
- For \( \frac{1}{8} + \frac{2}{5} \): **Estimate = \( \frac{1}{2} \)**
- For \( \frac{13}{14} - \frac{1}{10} \): **Estimate = \( 1 \)**
- For \( \frac{1}{12} + \frac{1}{20} \): **Estimate = \( 0 \)**