Answer :
To estimate the sum of [tex]\(3 \frac{1}{8} + 5 \frac{13}{15}\)[/tex], you can follow these steps:
1. Convert the Mixed Numbers to Improper Fractions:
- For [tex]\(3 \frac{1}{8}\)[/tex]:
- Multiply the whole number 3 by the denominator 8: [tex]\(3 \times 8 = 24\)[/tex].
- Add the numerator 1: [tex]\(24 + 1 = 25\)[/tex].
- So, [tex]\(3 \frac{1}{8} = \frac{25}{8}\)[/tex].
- For [tex]\(5 \frac{13}{15}\)[/tex]:
- Multiply the whole number 5 by the denominator 15: [tex]\(5 \times 15 = 75\)[/tex].
- Add the numerator 13: [tex]\(75 + 13 = 88\)[/tex].
- So, [tex]\(5 \frac{13}{15} = \frac{88}{15}\)[/tex].
2. Approximate the Fractions to Decimals:
- [tex]\(\frac{25}{8} \approx 3.125\)[/tex].
- [tex]\(\frac{88}{15} \approx 5.867\)[/tex].
3. Add the Decimal Approximations:
- [tex]\(3.125 + 5.867 \approx 8.992\)[/tex].
Therefore, the estimated sum of [tex]\(3 \frac{1}{8} + 5 \frac{13}{15}\)[/tex] is approximately [tex]\(8.992\)[/tex].
1. Convert the Mixed Numbers to Improper Fractions:
- For [tex]\(3 \frac{1}{8}\)[/tex]:
- Multiply the whole number 3 by the denominator 8: [tex]\(3 \times 8 = 24\)[/tex].
- Add the numerator 1: [tex]\(24 + 1 = 25\)[/tex].
- So, [tex]\(3 \frac{1}{8} = \frac{25}{8}\)[/tex].
- For [tex]\(5 \frac{13}{15}\)[/tex]:
- Multiply the whole number 5 by the denominator 15: [tex]\(5 \times 15 = 75\)[/tex].
- Add the numerator 13: [tex]\(75 + 13 = 88\)[/tex].
- So, [tex]\(5 \frac{13}{15} = \frac{88}{15}\)[/tex].
2. Approximate the Fractions to Decimals:
- [tex]\(\frac{25}{8} \approx 3.125\)[/tex].
- [tex]\(\frac{88}{15} \approx 5.867\)[/tex].
3. Add the Decimal Approximations:
- [tex]\(3.125 + 5.867 \approx 8.992\)[/tex].
Therefore, the estimated sum of [tex]\(3 \frac{1}{8} + 5 \frac{13}{15}\)[/tex] is approximately [tex]\(8.992\)[/tex].
