Solve 31/5*27/8

$$3 \frac{ 1 }{ 5 } \times 2 \frac{ 7 }{ 8 }$$

Evaluate

$$\frac{46}{5}=9.2$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}\times \frac{2\times 8+7}{8}$$

Add 15 and 1 to get 16.

$$\frac{16}{5}\times \frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{16}{5}\times \frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{16}{5}\times \frac{23}{8}$$

Multiply \frac{16}{5} times \frac{23}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 23}{5\times 8}$$

Do the multiplications in the fraction \frac{16\times 23}{5\times 8}.

$$\frac{368}{40}$$

Reduce the fraction \frac{368}{40} to lowest terms by extracting and canceling out 8.

$$\frac{46}{5}$$

Factor

$$\frac{2 \cdot 23}{5} = 9\frac{1}{5} = 9.2$$