use benchmarks to estimate the sum.
13/15 + 1/8
119/120
13/15 + 1.8
= almost 1 + very small
= appr 1
(real answer: 119/120 = appr .992)
I said 119/120 ;d
To estimate the sum of 13/15 + 1/8 using benchmarks, we can round the fractions to the nearest benchmark fraction.
1. Find benchmark fractions: Benchmark fractions are fractions that are easily recognized and commonly used. We can use benchmark fractions that have denominators of 10, 100, etc. In this case, we will use fractions with denominators of 10.
2. Convert the given fractions to fractions with denominators of 10:
- For 13/15: Multiply both the numerator and denominator by 10/3 to get 86/100.
- For 1/8: Multiply both the numerator and denominator by 10/1 to get 10/80.
3. Add the benchmark fractions:
- 86/100 + 10/80
4. Make the denominators of the fractions the same: To add the fractions, we need a common denominator. Since 80 is a multiple of 100, we can convert 86/100 to an equivalent fraction with a denominator of 80.
- Multiply both the numerator and denominator of 86/100 by 4 to get 344/400.
5. Add the fractions:
- 344/400 + 10/80 = (344 + 10) / 400 = 354/400
6. Simplify the fraction (if necessary): The fraction 354/400 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
- 354/400 = (177/200) ÷ 2 = 177/200 ÷ 2/2 = 177/400
So, the estimated sum of 13/15 + 1/8 using benchmarks is approximately 177/400.