Solve 8/13div7+1/7*6/13

$$\frac { 8 } { 13 } \div 7 + \frac { 1 } { 7 } \times \frac { 6 } { 13 }$$

Evaluate

$$\frac{2}{13}\approx 0.153846154$$

Solution Steps

Express \frac{\frac{8}{13}}{7} as a single fraction.

$$\frac{8}{13\times 7}+\frac{1}{7}\times \frac{6}{13}$$

Multiply 13 and 7 to get 91.

$$\frac{8}{91}+\frac{1}{7}\times \frac{6}{13}$$

Multiply \frac{1}{7} times \frac{6}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{91}+\frac{1\times 6}{7\times 13}$$

Do the multiplications in the fraction \frac{1\times 6}{7\times 13}.

$$\frac{8}{91}+\frac{6}{91}$$

Since \frac{8}{91} and \frac{6}{91} have the same denominator, add them by adding their numerators.

$$\frac{8+6}{91}$$

Add 8 and 6 to get 14.

$$\frac{14}{91}$$

Reduce the fraction \frac{14}{91} to lowest terms by extracting and canceling out 7.

$$\frac{2}{13}$$

Factor

$$\frac{2}{13} = 0.15384615384615385$$