Question

Write 2 1/4 as an improper fraction, and multiply the improper fraction by the reciprocal of 3/4.

Answer 1

Answer:

3

Step-by-step explanation:

2 1/4 as an improper fraction can be found by multiplying the whole number by the denominator, and then adding the numerator. In this case, we will multiply 2•4 = 8, and then add 1 --> 8+1=9. Then you put this number back over the denominator and you get 9/4.

The reciprocal can be found by flipping the fraction upside down, essentially. In this case, we go from 3/4 and flip it, so the reciprocal is 4/3.

Now, we multiply $\frac{9}{4}$ • $\frac{4}{3}$. Multiply across and you get $\frac{36}{12}$. If you divide 36 by 12 you will get 3.