Solve 9/26-4/39-5/52

$$\frac { 9 } { 26 } - \frac { 4 } { 39 } - \frac { 5 } { 52 }$$

Evaluate

$$\frac{23}{156}\approx 0.147435897$$

Solution Steps

Least common multiple of 26 and 39 is 78. Convert \frac{9}{26} and \frac{4}{39} to fractions with denominator 78.

$$\frac{27}{78}-\frac{8}{78}-\frac{5}{52}$$

Since \frac{27}{78} and \frac{8}{78} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-8}{78}-\frac{5}{52}$$

Subtract 8 from 27 to get 19.

$$\frac{19}{78}-\frac{5}{52}$$

Least common multiple of 78 and 52 is 156. Convert \frac{19}{78} and \frac{5}{52} to fractions with denominator 156.

$$\frac{38}{156}-\frac{15}{156}$$

Since \frac{38}{156} and \frac{15}{156} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-15}{156}$$

Subtract 15 from 38 to get 23.

$$\frac{23}{156}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3 \cdot 13} = 0.14743589743589744$$