Solve {r}{5/7}{+3/7}{3/12}

$$\left. \begin{array} { r } { \frac { 5 } { 7 } } \\ { + \frac { 3 } { 7 } } \\ { \frac { 3 } { 12 } } \end{array} \right.$$

Evaluate

$$\frac{39}{28}\approx 1.392857143$$

Solution Steps

Since \frac{5}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{7}+\frac{3}{12}$$

Add 5 and 3 to get 8.

$$\frac{8}{7}+\frac{3}{12}$$

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

$$\frac{8}{7}+\frac{1}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{8}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{32}{28}+\frac{7}{28}$$

Since \frac{32}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{32+7}{28}$$

Add 32 and 7 to get 39.

$$\frac{39}{28}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {2} \cdot 7} = 1\frac{11}{28} = 1.3928571428571428$$