Solve 10/14+6/3div14/6*6/12=

$$\frac { 10 } { 14 } + \frac { 6 } { 3 } \div \frac { 14 } { 6 } \cdot \frac { 6 } { 12 } =$$

Evaluate

$$\frac{8}{7}\approx 1.142857143$$

Solution Steps

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}+\frac{\frac{6}{3}}{\frac{14}{6}}\times \frac{6}{12}$$

Divide \frac{6}{3} by \frac{14}{6} by multiplying \frac{6}{3} by the reciprocal of \frac{14}{6}.

$$\frac{5}{7}+\frac{6\times 6}{3\times 14}\times \frac{6}{12}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{5}{7}+\frac{6}{7}\times \frac{6}{12}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{7}+\frac{6}{7}\times \frac{1}{2}$$

Multiply \frac{6}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{7}+\frac{6\times 1}{7\times 2}$$

Do the multiplications in the fraction \frac{6\times 1}{7\times 2}.

$$\frac{5}{7}+\frac{6}{14}$$

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}+\frac{3}{7}$$

Since \frac{5}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{7}$$

Add 5 and 3 to get 8.

$$\frac{8}{7}$$

Factor

$$\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428$$