Question

Ashby completes 1/10 of the project in 3/5 of an hour. What fraction of the project can Ashby complete in 1 hour?

A) 1/6
B) 1/2
C) 1/3
D) 1/15

Answer 1

Ashby completes 1/10 of the project in 3/5 of an hour, so in 1 hour, Ashby can complete 1/6 of the project. This is found by dividing 1/10 by 3/5 and simplifying the resulting fraction.

Step-by-step explanation:

The question asks us to find out how much of the project Ashby can complete in 1 hour if Ashby completes 1/10 of the project in 3/5 of an hour.

First, we need to find out how much of the project is completed in one hour. To do this, we take the fraction of the project completed and divide it by the fraction of the hour it took to complete that portion:

1. Take the fraction of the project completed, which is 1/10.
2. Divide that by the fraction of the hour used, which is 3/5 hour.
3. To divide fractions, we multiply by the reciprocal. So, we calculate 1/10 divided by 3/5 which is the same as 1/10 × 5/3.
4. Now, multiply the numerators and multiply the denominators: (1 × 5) / (10 × 3) = 5/30.
5. Finally, reduce the fraction: 5/30 equals 1/6 after simplification.

Therefore, Ashby can complete 1/6 of the project in one hour. The correct answer to this question is Option A) 1/6.