Solve 55/8*17/25

$$5 \frac { 5 } { 8 } \cdot 1 \frac { 7 } { 25 }$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+5}{8}\times \frac{1\times 25+7}{25}$$

Add 40 and 5 to get 45.

$$\frac{45}{8}\times \frac{1\times 25+7}{25}$$

Multiply 1 and 25 to get 25.

$$\frac{45}{8}\times \frac{25+7}{25}$$

Add 25 and 7 to get 32.

$$\frac{45}{8}\times \frac{32}{25}$$

Multiply \frac{45}{8} times \frac{32}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 32}{8\times 25}$$

Do the multiplications in the fraction \frac{45\times 32}{8\times 25}.

$$\frac{1440}{200}$$

Reduce the fraction \frac{1440}{200} to lowest terms by extracting and canceling out 40.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$