Solve 91/5*36/10

$$9 \frac { 1 } { 5 } \times 3 \frac { 6 } { 10 }$$

Evaluate

$$\frac{828}{25}=33.12$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+1}{5}\times \frac{3\times 10+6}{10}$$

Add 45 and 1 to get 46.

$$\frac{46}{5}\times \frac{3\times 10+6}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{46}{5}\times \frac{30+6}{10}$$

Add 30 and 6 to get 36.

$$\frac{46}{5}\times \frac{36}{10}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{46}{5}\times \frac{18}{5}$$

Multiply \frac{46}{5} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{46\times 18}{5\times 5}$$

Do the multiplications in the fraction \frac{46\times 18}{5\times 5}.

$$\frac{828}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 23}{5 ^ {2}} = 33\frac{3}{25} = 33.12$$