Question
What is the best estimation of the equation 7/8−6/11 ? Drag the numbers into the boxes. Numbers may be used once, twice, or not at all. the numbers are 1/2 1/4 1/8 0 2 and 1
Answers
GPT-4o mini
To estimate the equation \( \frac{7}{8} - \frac{6}{11} \), we can first convert the fractions to decimals or find a common denominator. However, for the purpose of estimation using the numbers provided, we can approximate \( \frac{7}{8} \) and \( \frac{6}{11} \).
1. **Estimation of \( \frac{7}{8} \)**:
- \( \frac{7}{8} \) is very close to 1 (as \( \frac{7}{8} = 0.875 \)).
2. **Estimation of \( \frac{6}{11} \)**:
- \( \frac{6}{11} \) is slightly less than \( \frac{1}{2} \) (as \( \frac{6}{11} \approx 0.545 \)).
So, for estimation:
- \( \frac{7}{8} \) can be approximated as **1**,
- \( \frac{6}{11} \) can be approximated as **1/2**.
Now, substitute to find:
\[
\text{Estimated value} = 1 - \frac{1}{2} = \frac{1}{2}
\]
Thus, the best estimation using the provided numbers for the equation \( \frac{7}{8} - \frac{6}{11} \) is:
- **1** in the first box (for \( \frac{7}{8} \))
- **1/2** in the second box (for \( \frac{6}{11} \))
The final approximation is **1/2**.
1. **Estimation of \( \frac{7}{8} \)**:
- \( \frac{7}{8} \) is very close to 1 (as \( \frac{7}{8} = 0.875 \)).
2. **Estimation of \( \frac{6}{11} \)**:
- \( \frac{6}{11} \) is slightly less than \( \frac{1}{2} \) (as \( \frac{6}{11} \approx 0.545 \)).
So, for estimation:
- \( \frac{7}{8} \) can be approximated as **1**,
- \( \frac{6}{11} \) can be approximated as **1/2**.
Now, substitute to find:
\[
\text{Estimated value} = 1 - \frac{1}{2} = \frac{1}{2}
\]
Thus, the best estimation using the provided numbers for the equation \( \frac{7}{8} - \frac{6}{11} \) is:
- **1** in the first box (for \( \frac{7}{8} \))
- **1/2** in the second box (for \( \frac{6}{11} \))
The final approximation is **1/2**.