Solve 6/143+1/11*4/13+3/13*frac{1}{11}

$$\frac { 6 } { 143 } + \frac { 1 } { 11 } \times \frac { 4 } { 13 } + \frac { 3 } { 13 } \times \frac { 1 } { 11 }$$

Evaluate

$$\frac{1}{11}\approx 0.090909091$$

Solution Steps

Multiply \frac{1}{11} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{143}+\frac{1\times 4}{11\times 13}+\frac{3}{13}\times \frac{1}{11}$$

Do the multiplications in the fraction \frac{1\times 4}{11\times 13}.

$$\frac{6}{143}+\frac{4}{143}+\frac{3}{13}\times \frac{1}{11}$$

Since \frac{6}{143} and \frac{4}{143} have the same denominator, add them by adding their numerators.

$$\frac{6+4}{143}+\frac{3}{13}\times \frac{1}{11}$$

Add 6 and 4 to get 10.

$$\frac{10}{143}+\frac{3}{13}\times \frac{1}{11}$$

Multiply \frac{3}{13} times \frac{1}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{143}+\frac{3\times 1}{13\times 11}$$

Do the multiplications in the fraction \frac{3\times 1}{13\times 11}.

$$\frac{10}{143}+\frac{3}{143}$$

Since \frac{10}{143} and \frac{3}{143} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{143}$$

Add 10 and 3 to get 13.

$$\frac{13}{143}$$

Reduce the fraction \frac{13}{143} to lowest terms by extracting and canceling out 13.

$$\frac{1}{11}$$

Factor

$$\frac{1}{11} = 0.09090909090909091$$