Solve (1/7*6/11)+(1/7*8/11)

$$( \frac { 1 } { 7 } \times \frac { 6 } { 11 } ) + ( \frac { 1 } { 7 } \times \frac { 8 } { 11 } )$$

Evaluate

$$\frac{2}{11}\approx 0.181818182$$

Solution Steps

Multiply \frac{1}{7} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{7\times 11}+\frac{1}{7}\times \frac{8}{11}$$

Do the multiplications in the fraction \frac{1\times 6}{7\times 11}.

$$\frac{6}{77}+\frac{1}{7}\times \frac{8}{11}$$

Multiply \frac{1}{7} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{77}+\frac{1\times 8}{7\times 11}$$

Do the multiplications in the fraction \frac{1\times 8}{7\times 11}.

$$\frac{6}{77}+\frac{8}{77}$$

Since \frac{6}{77} and \frac{8}{77} have the same denominator, add them by adding their numerators.

$$\frac{6+8}{77}$$

Add 6 and 8 to get 14.

$$\frac{14}{77}$$

Reduce the fraction \frac{14}{77} to lowest terms by extracting and canceling out 7.

$$\frac{2}{11}$$

Factor

$$\frac{2}{11} = 0.18181818181818182$$