Solve 0.2div3/7

$$0.2 \div \frac{ 3 }{ 7 }$$

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

Divide 0.2 by \frac{3}{7} by multiplying 0.2 by the reciprocal of \frac{3}{7}.

$$0.2\times \frac{7}{3}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}\times \frac{7}{3}$$

Multiply \frac{1}{5} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{5\times 3}$$

Do the multiplications in the fraction \frac{1\times 7}{5\times 3}.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$