Solve 1-8/55-4/11div3

$$1- \frac{ 8 }{ 55 } - \frac{ 4 }{ 11 } \div 3$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Convert 1 to fraction \frac{55}{55}.

$$\frac{55}{55}-\frac{8}{55}-\frac{\frac{4}{11}}{3}$$

Since \frac{55}{55} and \frac{8}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-8}{55}-\frac{\frac{4}{11}}{3}$$

Subtract 8 from 55 to get 47.

$$\frac{47}{55}-\frac{\frac{4}{11}}{3}$$

Express \frac{\frac{4}{11}}{3} as a single fraction.

$$\frac{47}{55}-\frac{4}{11\times 3}$$

Multiply 11 and 3 to get 33.

$$\frac{47}{55}-\frac{4}{33}$$

Least common multiple of 55 and 33 is 165. Convert \frac{47}{55} and \frac{4}{33} to fractions with denominator 165.

$$\frac{141}{165}-\frac{20}{165}$$

Since \frac{141}{165} and \frac{20}{165} have the same denominator, subtract them by subtracting their numerators.

$$\frac{141-20}{165}$$

Subtract 20 from 141 to get 121.

$$\frac{121}{165}$$

Reduce the fraction \frac{121}{165} to lowest terms by extracting and canceling out 11.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$