Answer :
To estimate the difference between the mixed numbers [tex]\(7 \frac{6}{11}\)[/tex] and [tex]\(5 \frac{13}{15}\)[/tex], you can follow these steps:
1. Recognize the Mixed Numbers:
- The mixed number [tex]\(7 \frac{6}{11}\)[/tex] consists of the whole number 7 and the fraction [tex]\(\frac{6}{11}\)[/tex].
- The mixed number [tex]\(5 \frac{13}{15}\)[/tex] consists of the whole number 5 and the fraction [tex]\(\frac{13}{15}\)[/tex].
2. Focus on the Whole Numbers:
- To estimate the difference, we look primarily at the whole numbers.
- The whole number part of [tex]\(7 \frac{6}{11}\)[/tex] is 7.
- The whole number part of [tex]\(5 \frac{13}{15}\)[/tex] is 5.
3. Estimate the Difference:
- Subtract the whole numbers: [tex]\(7 - 5 = 2\)[/tex].
By estimating based on the whole numbers, we find that the estimated difference is [tex]\(2\)[/tex]. This gives us a quick way to estimate without dealing with the fractions.
1. Recognize the Mixed Numbers:
- The mixed number [tex]\(7 \frac{6}{11}\)[/tex] consists of the whole number 7 and the fraction [tex]\(\frac{6}{11}\)[/tex].
- The mixed number [tex]\(5 \frac{13}{15}\)[/tex] consists of the whole number 5 and the fraction [tex]\(\frac{13}{15}\)[/tex].
2. Focus on the Whole Numbers:
- To estimate the difference, we look primarily at the whole numbers.
- The whole number part of [tex]\(7 \frac{6}{11}\)[/tex] is 7.
- The whole number part of [tex]\(5 \frac{13}{15}\)[/tex] is 5.
3. Estimate the Difference:
- Subtract the whole numbers: [tex]\(7 - 5 = 2\)[/tex].
By estimating based on the whole numbers, we find that the estimated difference is [tex]\(2\)[/tex]. This gives us a quick way to estimate without dealing with the fractions.
