Solve 5/13div6+1/6*8/13

$$\frac { 5 } { 13 } \div 6 + \frac { 1 } { 6 } \times \frac { 8 } { 13 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Express \frac{\frac{5}{13}}{6} as a single fraction.

$$\frac{5}{13\times 6}+\frac{1}{6}\times \frac{8}{13}$$

Multiply 13 and 6 to get 78.

$$\frac{5}{78}+\frac{1}{6}\times \frac{8}{13}$$

Multiply \frac{1}{6} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{78}+\frac{1\times 8}{6\times 13}$$

Do the multiplications in the fraction \frac{1\times 8}{6\times 13}.

$$\frac{5}{78}+\frac{8}{78}$$

Since \frac{5}{78} and \frac{8}{78} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{78}$$

Add 5 and 8 to get 13.

$$\frac{13}{78}$$

Reduce the fraction \frac{13}{78} to lowest terms by extracting and canceling out 13.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$