Solve 24/5*31/8

$$2 \frac { 4 } { 5 } \times 3 \frac { 1 } { 8 }$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}\times \frac{3\times 8+1}{8}$$

Add 10 and 4 to get 14.

$$\frac{14}{5}\times \frac{3\times 8+1}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{14}{5}\times \frac{24+1}{8}$$

Add 24 and 1 to get 25.

$$\frac{14}{5}\times \frac{25}{8}$$

Multiply \frac{14}{5} times \frac{25}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 25}{5\times 8}$$

Do the multiplications in the fraction \frac{14\times 25}{5\times 8}.

$$\frac{350}{40}$$

Reduce the fraction \frac{350}{40} to lowest terms by extracting and canceling out 10.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$