Question

Which is the unknown quantity?
8 2/3 yards/ $148.50 = 2 1/3 yards/ ?

Answer 1

Answer: C. $39.98

Explanation:

We have the following equation with mixed fractions:

`(8(2)/(3)yards)/(\$148.50)=(2(1)/(3)yards)/(?)` (1)

A mixed fraction is the combination of an integer and a fraction, and to convert it into an improper fraction and be able to solve the equation more easily, we must do the following:

Mixed fraction:
`a(b)/(c)`

Converting Mixed fraction to improper fraction:
`((a)(c)+b)/(c)`

So, for both mixed fractions we have:

`8(2)/(3)=(26)/(3)`

`2(1)/(3)=(7)/(3)`

Having this clear, let's solve the equation:

`(26/3 yards)/(\$148.50)=(7/3 yards)/(?)` (2)

`?=(7/3 yards)/(26/3 yards)(\$148.50)` (3)

Finally:

`?=\$39.98`