Solve 1/4*7/25*6/7div(3/4*frac{2}{5})

$$\frac { 1 } { 4 } \times \frac { 7 } { 25 } \times \frac { 6 } { 7 } \div ( \frac { 3 } { 4 } \times \frac { 2 } { 5 } )$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Multiply \frac{1}{4} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 7}{4\times 25}\times \frac{6}{7}}{\frac{3}{4}\times \frac{2}{5}}$$

Do the multiplications in the fraction \frac{1\times 7}{4\times 25}.

$$\frac{\frac{7}{100}\times \frac{6}{7}}{\frac{3}{4}\times \frac{2}{5}}$$

Multiply \frac{7}{100} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 6}{100\times 7}}{\frac{3}{4}\times \frac{2}{5}}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\frac{6}{100}}{\frac{3}{4}\times \frac{2}{5}}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{50}}{\frac{3}{4}\times \frac{2}{5}}$$

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3}{50}}{\frac{3\times 2}{4\times 5}}$$

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{\frac{3}{50}}{\frac{6}{20}}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{50}}{\frac{3}{10}}$$

Divide \frac{3}{50} by \frac{3}{10} by multiplying \frac{3}{50} by the reciprocal of \frac{3}{10}.

$$\frac{3}{50}\times \frac{10}{3}$$

Multiply \frac{3}{50} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{50\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10}{50}$$

Reduce the fraction \frac{10}{50} to lowest terms by extracting and canceling out 10.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$