Solve (43/5)(21/2)

$$( 4 \frac { 3 } { 5 } ) ( 2 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}\times \frac{2\times 2+1}{2}$$

Add 20 and 3 to get 23.

$$\frac{23}{5}\times \frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{23}{5}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{23}{5}\times \frac{5}{2}$$

Multiply \frac{23}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$