Solve 5/6+7/9-1/5

$$\frac { 5 } { 6 } + \frac { 7 } { 9 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{127}{90}\approx 1.411111111$$

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{7}{9} to fractions with denominator 18.

$$\frac{15}{18}+\frac{14}{18}-\frac{1}{5}$$

Since \frac{15}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{18}-\frac{1}{5}$$

Add 15 and 14 to get 29.

$$\frac{29}{18}-\frac{1}{5}$$

Least common multiple of 18 and 5 is 90. Convert \frac{29}{18} and \frac{1}{5} to fractions with denominator 90.

$$\frac{145}{90}-\frac{18}{90}$$

Since \frac{145}{90} and \frac{18}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{145-18}{90}$$

Subtract 18 from 145 to get 127.

$$\frac{127}{90}$$

Factor

$$\frac{127}{2 \cdot 3 ^ {2} \cdot 5} = 1\frac{37}{90} = 1.4111111111111112$$