Solve 32/3(16/3)+28

$$\frac { 32 } { 3 } ( \frac { 16 } { 3 } ) + 28$$

Evaluate

$$\frac{764}{9}\approx 84.888888889$$

Solution Steps

Multiply \frac{32}{3} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 16}{3\times 3}+28$$

Do the multiplications in the fraction \frac{32\times 16}{3\times 3}.

$$\frac{512}{9}+28$$

Convert 28 to fraction \frac{252}{9}.

$$\frac{512}{9}+\frac{252}{9}$$

Since \frac{512}{9} and \frac{252}{9} have the same denominator, add them by adding their numerators.

$$\frac{512+252}{9}$$

Add 512 and 252 to get 764.

$$\frac{764}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 191}{3 ^ {2}} = 84\frac{8}{9} = 84.88888888888889$$