Answer :
To estimate the difference between the fractions [tex]\(7 \frac{6}{11}\)[/tex] and [tex]\(5 \frac{13}{15}\)[/tex], we can follow these steps:
1. Convert the mixed numbers to decimals:
- For [tex]\(7 \frac{6}{11}\)[/tex], divide 6 by 11 to get approximately 0.545. Then add this to 7:
[tex]\[
7 + \frac{6}{11} \approx 7.545.
\][/tex]
- For [tex]\(5 \frac{13}{15}\)[/tex], divide 13 by 15 to get approximately 0.867. Then add this to 5:
[tex]\[
5 + \frac{13}{15} \approx 5.867.
\][/tex]
2. Estimate the difference by subtracting the two decimal values:
[tex]\[
7.545 - 5.867 \approx 1.678.
\][/tex]
So, the estimated difference between [tex]\(7 \frac{6}{11}\)[/tex] and [tex]\(5 \frac{13}{15}\)[/tex] is approximately 1.678.
1. Convert the mixed numbers to decimals:
- For [tex]\(7 \frac{6}{11}\)[/tex], divide 6 by 11 to get approximately 0.545. Then add this to 7:
[tex]\[
7 + \frac{6}{11} \approx 7.545.
\][/tex]
- For [tex]\(5 \frac{13}{15}\)[/tex], divide 13 by 15 to get approximately 0.867. Then add this to 5:
[tex]\[
5 + \frac{13}{15} \approx 5.867.
\][/tex]
2. Estimate the difference by subtracting the two decimal values:
[tex]\[
7.545 - 5.867 \approx 1.678.
\][/tex]
So, the estimated difference between [tex]\(7 \frac{6}{11}\)[/tex] and [tex]\(5 \frac{13}{15}\)[/tex] is approximately 1.678.
