Question

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

Answer 1

Answer: C. $39.98

Step-by-step explanation:

We have the following equation with mixed fractions:

$\frac{8\frac{2}{3}yards}{\ 148.50}=\frac{2\frac{1}{3}yards}{?}$  (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: $a\frac{b}{c}$

Converting Mixed fraction to improper fraction: $\frac{(a)(c)+b}{c}$

So, for both mixed fractions we have:

$8\frac{2}{3}=\frac{26}{3}$

$2\frac{1}{3}=\frac{7}{3}$

Having this clear, let's solve the equation:

$\frac{26/3 yards}{\ 148.50}=\frac{7/3 yards}{?}$  (2)

$?=\frac{7/3 yards}{26/3 yards}(\ 148.50)$  (3)

Finally:

$?=\ 39.98$