Solve 7/9+5/8

$$\frac { 7 } { 9 } + \frac { 5 } { 8 }$$

Evaluate

$$\frac{101}{72}\approx 1.402777778$$

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{7}{9} and \frac{5}{8} to fractions with denominator 72.

$$\frac{56}{72}+\frac{45}{72}$$

Since \frac{56}{72} and \frac{45}{72} have the same denominator, add them by adding their numerators.

$$\frac{56+45}{72}$$

Add 56 and 45 to get 101.

$$\frac{101}{72}$$

Factor

$$\frac{101}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{29}{72} = 1.4027777777777777$$