A professor wants to divide the remaining 3 4 of the semester evenly into six different units. A. What fraction of the semester should be spent on each unit? B. The professor drops one unit. What fraction of the semester should be spent on each unit?

A. 1/8 of the semester

B. 3/20 of the semester

Step-by-step explanation:

A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units. A. What fraction of the semester should be spent on each unit?

B. The professor drops one unit. What fraction of the semester should be spent on each unit?

Solution

A.

A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units

Total semester=3/4

Total units=6 units

Fraction of the semester that will be spent on each units = 3/4 ÷ 6

=3/4 × 1/6

=3/24

=1/8

1/8 of the semester will be spent on each units

B. If the professor drops one unit

That is 6 units - 1 unit = 5 units

Fraction of the semester that will be spent on each units=3/4 ÷ 5

=3/4 × 1/5

=3/20

40 is the final : )