Solve 3/8+7/9

$$\frac { 3 } { 8 } + \frac { 7 } { 9 }$$

Evaluate

$$\frac{83}{72}\approx 1.152777778$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{3}{8} and \frac{7}{9} to fractions with denominator 72.

$$\frac{27}{72}+\frac{56}{72}$$

Since \frac{27}{72} and \frac{56}{72} have the same denominator, add them by adding their numerators.

$$\frac{27+56}{72}$$

Add 27 and 56 to get 83.

$$\frac{83}{72}$$

Factor

$$\frac{83}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{11}{72} = 1.1527777777777777$$