Use benchmarks to estimate the sum 13/15 plus 1/8
Ah, estimating sums, let's put on our mathematical clown hat!
To estimate the sum of 13/15 plus 1/8, let's find some friendly benchmark fractions to help us.
Benchmark 1: Let's round 13/15 to 12/15, which simplifies to 4/5.
Benchmark 2: Let's round 1/8 to 1/6.
Now, we can add our benchmark fractions:
4/5 + 1/6
To make them have the same denominator, let's find a common multiple of 5 and 6, which is 30.
So, we get:
(4/5) * (6/6) + (1/6) * (5/5)
Simplifying this, we have:
24/30 + 5/30 = 29/30
Voila! The estimated sum of 13/15 plus 1/8 is approximately 29/30. But remember, this is just an estimation, so don't take it too seriously!
To estimate the sum of 13/15 plus 1/8, we can use benchmarks. Benchmarks are convenient numbers that are easy to work with and help us estimate calculations.
Let's find benchmarks for both fractions:
For 13/15, we can use the benchmark of 1 because any fraction divided by itself is always 1.
For 1/8, we can use the benchmark of 1/2 because it is a commonly used benchmark for fractions less than 1.
Now, let's estimate the sum using these benchmarks:
Since 13/15 is close to 1, we can round it up to 1. Similarly, 1/8 is closer to 1/2, so we can round it up to 1/2.
Therefore, the sum of 13/15 plus 1/8 can be estimated as 1 + 1/2.
To find the sum of 1 + 1/2, we need to add the whole numbers and then add the fractions separately:
1 + 1/2 = 2/2 + 1/2 = 3/2
So, the estimated sum of 13/15 plus 1/8 is approximately 3/2.
To estimate the sum of 13/15 plus 1/8 using benchmarks, we can find equivalent fractions with the same denominator.
First, let's find benchmarks for the denominators, which are 15 and 8. We can use multiples of these denominators as benchmarks.
For 15:
- The nearest multiple is 15 itself. So, we can use 15/15 as the benchmark.
For 8:
- The nearest multiple of 8 is 16. So, we can use 16/16 as the benchmark.
Now, we need to express the given fractions with these benchmarks as denominators:
13/15 can be rewritten as (13/15) * (16/16), which is equal to (13 * 16) / (15 * 16), or 208/240.
1/8 can be rewritten as (1/8) * (15/15), which is equal to (1 * 15) / (8 * 15), or 15/120.
Now, we can sum up the two fractions:
208/240 + 15/120 = (208 + 15) / 240 = 223/240.
Therefore, the estimated sum of 13/15 plus 1/8 is 223/240.