Solve 7/80-1/90

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

Evaluate

$$\frac{11}{144}\approx 0.076388889$$

Solution Steps

Least common multiple of 80 and 90 is 720. Convert \frac{7}{80} and \frac{1}{90} to fractions with denominator 720.

$$\frac{63}{720}-\frac{8}{720}$$

Since \frac{63}{720} and \frac{8}{720} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-8}{720}$$

Subtract 8 from 63 to get 55.

$$\frac{55}{720}$$

Reduce the fraction \frac{55}{720} to lowest terms by extracting and canceling out 5.

$$\frac{11}{144}$$

Factor

$$\frac{11}{2 ^ {4} \cdot 3 ^ {2}} = 0.0763888888888889$$