Solve 1/2div7/12

$$\frac { 1 } { 2 } \div \frac { 7 } { 12 }$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Divide \frac{1}{2} by \frac{7}{12} by multiplying \frac{1}{2} by the reciprocal of \frac{7}{12}.

$$\frac{1}{2}\times \frac{12}{7}$$

Multiply \frac{1}{2} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 12}{2\times 7}$$

Do the multiplications in the fraction \frac{1\times 12}{2\times 7}.

$$\frac{12}{14}$$

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$