Solve (17/26+11/13)*17/6

$$( \frac { 17 } { 26 } + \frac { 11 } { 13 } ) \cdot \frac { 17 } { 6 }$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Least common multiple of 26 and 13 is 26. Convert \frac{17}{26} and \frac{11}{13} to fractions with denominator 26.

$$\left(\frac{17}{26}+\frac{22}{26}\right)\times \frac{17}{6}$$

Since \frac{17}{26} and \frac{22}{26} have the same denominator, add them by adding their numerators.

$$\frac{17+22}{26}\times \frac{17}{6}$$

Add 17 and 22 to get 39.

$$\frac{39}{26}\times \frac{17}{6}$$

Reduce the fraction \frac{39}{26} to lowest terms by extracting and canceling out 13.

$$\frac{3}{2}\times \frac{17}{6}$$

Multiply \frac{3}{2} times \frac{17}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 17}{2\times 6}$$

Do the multiplications in the fraction \frac{3\times 17}{2\times 6}.

$$\frac{51}{12}$$

Reduce the fraction \frac{51}{12} to lowest terms by extracting and canceling out 3.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$