Solve 1/2div3/10

$$\frac{ 1 }{ 2 } \div \frac{ 3 }{ 10 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Divide \frac{1}{2} by \frac{3}{10} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{10}.

$$\frac{1}{2}\times \frac{10}{3}$$

Multiply \frac{1}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 10}{2\times 3}$$

Do the multiplications in the fraction \frac{1\times 10}{2\times 3}.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$