Solve 19/38-7/80-11/90

$$\frac{ 19 }{ 38 } - \frac{ 7 }{ 80 } - \frac{ 11 }{ 90 }$$

Evaluate

$$\frac{209}{720}\approx 0.290277778$$

Solution Steps

Reduce the fraction \frac{19}{38} to lowest terms by extracting and canceling out 19.

$$\frac{1}{2}-\frac{7}{80}-\frac{11}{90}$$

Least common multiple of 2 and 80 is 80. Convert \frac{1}{2} and \frac{7}{80} to fractions with denominator 80.

$$\frac{40}{80}-\frac{7}{80}-\frac{11}{90}$$

Since \frac{40}{80} and \frac{7}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-7}{80}-\frac{11}{90}$$

Subtract 7 from 40 to get 33.

$$\frac{33}{80}-\frac{11}{90}$$

Least common multiple of 80 and 90 is 720. Convert \frac{33}{80} and \frac{11}{90} to fractions with denominator 720.

$$\frac{297}{720}-\frac{88}{720}$$

Since \frac{297}{720} and \frac{88}{720} have the same denominator, subtract them by subtracting their numerators.

$$\frac{297-88}{720}$$

Subtract 88 from 297 to get 209.

$$\frac{209}{720}$$

Factor

$$\frac{11 \cdot 19}{2 ^ {4} \cdot 3 ^ {2} \cdot 5} = 0.2902777777777778$$