A student spends 5/6 hour grading 3/5 of a student's essay. At this rate, how long does it take the teacher to grade the students entire essay?

Step-by-step explanation:

Given that :

Time spent = 5/6

Fraction of students graded = 3/5

Amount of time grading 3/5 of students = 5/6 hours

Total fraction of students = 1/1

If 3/5 of students take 5/6 hours

Then, 1/1 of students will take x

Using cross multiplication :

3/5 = 5/6

1 = x

3x / 5 = 5/ 6

3x * 6 = 5 *5

18x = 25

x = 25 / 18

x = 1.38888 hours