Solve 12/7*3*25/8

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

Evaluate

$$\frac{81}{8}=10.125$$

Solution Steps

Multiply 1 and 7 to get 7.

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

Add 7 and 2 to get 9.

$$\frac{9}{7}\times 3\times \frac{2\times 8+5}{8}$$

Express \frac{9}{7}\times 3 as a single fraction.

$$\frac{9\times 3}{7}\times \frac{2\times 8+5}{8}$$

Multiply 9 and 3 to get 27.

$$\frac{27}{7}\times \frac{2\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{27}{7}\times \frac{16+5}{8}$$

Add 16 and 5 to get 21.

$$\frac{27}{7}\times \frac{21}{8}$$

Multiply \frac{27}{7} times \frac{21}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 21}{7\times 8}$$

Do the multiplications in the fraction \frac{27\times 21}{7\times 8}.

$$\frac{567}{56}$$

Reduce the fraction \frac{567}{56} to lowest terms by extracting and canceling out 7.

$$\frac{81}{8}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {3}} = 10\frac{1}{8} = 10.125$$