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 [tex]\frac{9}{4}[/tex] • [tex]\frac{4}{3}[/tex]. Multiply across and you get [tex]\frac{36}{12}[/tex]. If you divide 36 by 12 you will get 3.
