Donald can read 3/4 of a book in 1 1/2 hours. Find the unit rate and show your work
To find the unit rate, we need to divide the amount read (3/4 of a book) by the time taken (1 1/2 hours).
First, let's convert 1 1/2 hours to an improper fraction:
1 1/2 = 2/2 + 1/2 = 3/2
Now, let's divide 3/4 by 3/2:
3/4 ÷ 3/2
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
3/4 × 2/3
Cancel out the common factors between the numerators and denominators:
1/4 × 2/1 = 2/4
Simplify the fraction:
2/4 = 1/2
Therefore, the unit rate is 1/2, which means Donald can read 1/2 of a book in 1 hour.