Solve 0.21div0.625*3/7

$$0.21 \div 0.625 \times \frac { 3 } { 7 }$$

Evaluate

$$0.144$$

Solution Steps

Expand \frac{0.21}{0.625} by multiplying both numerator and the denominator by 1000.

$$\frac{210}{625}\times \frac{3}{7}$$

Reduce the fraction \frac{210}{625} to lowest terms by extracting and canceling out 5.

$$\frac{42}{125}\times \frac{3}{7}$$

Multiply \frac{42}{125} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{42\times 3}{125\times 7}$$

Do the multiplications in the fraction \frac{42\times 3}{125\times 7}.

$$\frac{126}{875}$$

Reduce the fraction \frac{126}{875} to lowest terms by extracting and canceling out 7.

$$\frac{18}{125}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 ^ {3}} = 0.144$$