Solve 32/5*633/4

$$3 \frac { 2 } { 5 } \times 63 \frac { 3 } { 4 }$$

Evaluate

$$\frac{867}{4}=216.75$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}\times \frac{63\times 4+3}{4}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}\times \frac{63\times 4+3}{4}$$

Multiply 63 and 4 to get 252.

$$\frac{17}{5}\times \frac{252+3}{4}$$

Add 252 and 3 to get 255.

$$\frac{17}{5}\times \frac{255}{4}$$

Multiply \frac{17}{5} times \frac{255}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 255}{5\times 4}$$

Do the multiplications in the fraction \frac{17\times 255}{5\times 4}.

$$\frac{4335}{20}$$

Reduce the fraction \frac{4335}{20} to lowest terms by extracting and canceling out 5.

$$\frac{867}{4}$$

Factor

$$\frac{3 \cdot 17 ^ {2}}{2 ^ {2}} = 216\frac{3}{4} = 216.75$$