Estimate the sum or difference . Use the benchmarks of 0,1/2 and 1
23/40-9/30
Simplify 9 / 30.
9 / 30 = 3 ∙ 3 / 3 ∙ 10 = 3 / 10
Multiply numerator and denominator by 4
3 / 10 = 4 ∙ 3 / 4 ∙ 10 = 12 / 40
23 / 40 - 9 / 30 = 23 / 40 - 12 / 40 = 11 / 40
Estimating:
1 / 4 ≤ 23 / 40 ≤ 3 / 4
Rund it to 1 / 2
1 /4 ≤ 9 / 30 ≤ 3 / 4
Round it to 1 / 2
Estimating:
1 / 2 - 1 / 2 = 0
Very helpful, tho try simplifying your answer so everyone can read it
Inferential statistics quick check
To estimate the difference between 23/40 and 9/30 using benchmarks of 0, 1/2, and 1, you can follow these steps:
1. Convert the fractions to have a common denominator. In this case, the denominators are already multiples of each other (40 = 2 * 2 * 2 * 5 and 30 = 2 * 3 * 5), so you can skip this step.
2. Find the benchmark fraction that is closest to each fraction. For 23/40, the closest benchmark is 1/2 because it is slightly less than 1/2 (since 23 is closer to 20 than 30). For 9/30, the closest benchmark is 1 because it is slightly less than 1 (since 9 is closer to 10 than 0).
3. Estimate the difference using the benchmarks. Since 9/30 is slightly less than 1 and 23/40 is slightly less than 1/2, you can estimate the difference to be slightly less than 1/2.
Therefore, the estimated difference between 23/40 and 9/30 is slightly less than 1/2.