Question

What is the area in square feet of recangle 4 3/7 × 6 4/5

Answer 1

First, rewrite the fractions as improper fractions. Then, multiply the quantities to find the area of the rectangle.

`4(3)/(7)=4+(3)/(7)=(4*7)/(7)+(3)/(7)=(28)/(7)+(3)/(7)=(31)/(7)`
`6(4)/(5)=6+(4)/(5)=(6*5)/(5)+(4)/(5)=(30)/(5)+(4)/(5)=(34)/(5)`

Then:

`4(3)/(7)*6(4)/(5)=(31)/(7)*(34)/(5)=(31*34)/(7*5)=(1054)/(35)`

Rewrite the fraction 1054/35 as a mixed fraction:

`(1054)/(35)=(1050)/(35)+(4)/(35)=(30*35)/(35)+(4)/(35)=30+(4)/(35)=30(4)/(35)`

Therefore, if the dimentions of the rectangle are 4 3/7 and 6 4/5, then its area is equal to:

`30(4)/(35)`