Solve 1/8*3/4*7/5div7/10

$$\frac { 1 } { 8 } \times \frac { 3 } { 4 } \times \frac { 7 } { 5 } \div \frac { 7 } { 10 }$$

Evaluate

$$\frac{3}{16}=0.1875$$

Solution Steps

Multiply \frac{1}{8} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{8\times 4}\times \frac{7}{5}}{\frac{7}{10}}$$

Do the multiplications in the fraction \frac{1\times 3}{8\times 4}.

$$\frac{\frac{3}{32}\times \frac{7}{5}}{\frac{7}{10}}$$

Multiply \frac{3}{32} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 7}{32\times 5}}{\frac{7}{10}}$$

Do the multiplications in the fraction \frac{3\times 7}{32\times 5}.

$$\frac{\frac{21}{160}}{\frac{7}{10}}$$

Divide \frac{21}{160} by \frac{7}{10} by multiplying \frac{21}{160} by the reciprocal of \frac{7}{10}.

$$\frac{21}{160}\times \frac{10}{7}$$

Multiply \frac{21}{160} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 10}{160\times 7}$$

Do the multiplications in the fraction \frac{21\times 10}{160\times 7}.

$$\frac{210}{1120}$$

Reduce the fraction \frac{210}{1120} to lowest terms by extracting and canceling out 70.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$