Solve 8/19+2/3-3/4

$$\frac { 8 } { 19 } + \frac { 2 } { 3 } - \frac { 3 } { 4 }$$

Evaluate

$$\frac{77}{228}\approx 0.337719298$$

Solution Steps

Least common multiple of 19 and 3 is 57. Convert \frac{8}{19} and \frac{2}{3} to fractions with denominator 57.

$$\frac{24}{57}+\frac{38}{57}-\frac{3}{4}$$

Since \frac{24}{57} and \frac{38}{57} have the same denominator, add them by adding their numerators.

$$\frac{24+38}{57}-\frac{3}{4}$$

Add 24 and 38 to get 62.

$$\frac{62}{57}-\frac{3}{4}$$

Least common multiple of 57 and 4 is 228. Convert \frac{62}{57} and \frac{3}{4} to fractions with denominator 228.

$$\frac{248}{228}-\frac{171}{228}$$

Since \frac{248}{228} and \frac{171}{228} have the same denominator, subtract them by subtracting their numerators.

$$\frac{248-171}{228}$$

Subtract 171 from 248 to get 77.

$$\frac{77}{228}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3 \cdot 19} = 0.33771929824561403$$