Solve 2/17*31/8*17/10

$$\frac { 2 } { 17 } \times 3 \frac { 1 } { 8 } \times 1 \frac { 7 } { 10 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{2}{17}\times \frac{24+1}{8}\times \frac{1\times 10+7}{10}$$

Add 24 and 1 to get 25.

$$\frac{2}{17}\times \frac{25}{8}\times \frac{1\times 10+7}{10}$$

Multiply \frac{2}{17} times \frac{25}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 25}{17\times 8}\times \frac{1\times 10+7}{10}$$

Do the multiplications in the fraction \frac{2\times 25}{17\times 8}.

$$\frac{50}{136}\times \frac{1\times 10+7}{10}$$

Reduce the fraction \frac{50}{136} to lowest terms by extracting and canceling out 2.

$$\frac{25}{68}\times \frac{1\times 10+7}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{25}{68}\times \frac{10+7}{10}$$

Add 10 and 7 to get 17.

$$\frac{25}{68}\times \frac{17}{10}$$

Multiply \frac{25}{68} times \frac{17}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 17}{68\times 10}$$

Do the multiplications in the fraction \frac{25\times 17}{68\times 10}.

$$\frac{425}{680}$$

Reduce the fraction \frac{425}{680} to lowest terms by extracting and canceling out 85.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$