Solve 7/9+(13/14+2/9)=

$$\frac { 7 } { 9 } + ( \frac { 13 } { 14 } + \frac { 2 } { 9 } ) =$$

Evaluate

$$\frac{27}{14}\approx 1.928571429$$

Solution Steps

Least common multiple of 9 and 14 is 126. Convert \frac{7}{9} and \frac{13}{14} to fractions with denominator 126.

$$\frac{98}{126}+\frac{117}{126}+\frac{2}{9}$$

Since \frac{98}{126} and \frac{117}{126} have the same denominator, add them by adding their numerators.

$$\frac{98+117}{126}+\frac{2}{9}$$

Add 98 and 117 to get 215.

$$\frac{215}{126}+\frac{2}{9}$$

Least common multiple of 126 and 9 is 126. Convert \frac{215}{126} and \frac{2}{9} to fractions with denominator 126.

$$\frac{215}{126}+\frac{28}{126}$$

Since \frac{215}{126} and \frac{28}{126} have the same denominator, add them by adding their numerators.

$$\frac{215+28}{126}$$

Add 215 and 28 to get 243.

$$\frac{243}{126}$$

Reduce the fraction \frac{243}{126} to lowest terms by extracting and canceling out 9.

$$\frac{27}{14}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$