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

1 answer

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.