Solve 3/4*(2/5div25/7)

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

Evaluate

$$\frac{21}{250}=0.084$$

Solution Steps

Divide \frac{2}{5} by \frac{25}{7} by multiplying \frac{2}{5} by the reciprocal of \frac{25}{7}.

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

Multiply \frac{2}{5} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 7}{5\times 25}.

$$\frac{3}{4}\times \frac{14}{125}$$

Multiply \frac{3}{4} times \frac{14}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 14}{4\times 125}$$

Do the multiplications in the fraction \frac{3\times 14}{4\times 125}.

$$\frac{42}{500}$$

Reduce the fraction \frac{42}{500} to lowest terms by extracting and canceling out 2.

$$\frac{21}{250}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5 ^ {3}} = 0.084$$