Solve 61/4*22/15

$$6 \frac { 1 } { 4 } \times 2 \frac { 2 } { 15 }$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}\times \frac{2\times 15+2}{15}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}\times \frac{2\times 15+2}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{25}{4}\times \frac{30+2}{15}$$

Add 30 and 2 to get 32.

$$\frac{25}{4}\times \frac{32}{15}$$

Multiply \frac{25}{4} times \frac{32}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 32}{4\times 15}$$

Do the multiplications in the fraction \frac{25\times 32}{4\times 15}.

$$\frac{800}{60}$$

Reduce the fraction \frac{800}{60} to lowest terms by extracting and canceling out 20.

$$\frac{40}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$