Solve 77/35-80/66-56/105

$$\frac { 77 } { 35 } - \frac { 80 } { 66 } - \frac { 56 } { 105 }$$

Evaluate

$$\frac{5}{11}\approx 0.454545455$$

Solution Steps

Reduce the fraction \frac{77}{35} to lowest terms by extracting and canceling out 7.

$$\frac{11}{5}-\frac{80}{66}-\frac{56}{105}$$

Reduce the fraction \frac{80}{66} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}-\frac{40}{33}-\frac{56}{105}$$

Least common multiple of 5 and 33 is 165. Convert \frac{11}{5} and \frac{40}{33} to fractions with denominator 165.

$$\frac{363}{165}-\frac{200}{165}-\frac{56}{105}$$

Since \frac{363}{165} and \frac{200}{165} have the same denominator, subtract them by subtracting their numerators.

$$\frac{363-200}{165}-\frac{56}{105}$$

Subtract 200 from 363 to get 163.

$$\frac{163}{165}-\frac{56}{105}$$

Reduce the fraction \frac{56}{105} to lowest terms by extracting and canceling out 7.

$$\frac{163}{165}-\frac{8}{15}$$

Least common multiple of 165 and 15 is 165. Convert \frac{163}{165} and \frac{8}{15} to fractions with denominator 165.

$$\frac{163}{165}-\frac{88}{165}$$

Since \frac{163}{165} and \frac{88}{165} have the same denominator, subtract them by subtracting their numerators.

$$\frac{163-88}{165}$$

Subtract 88 from 163 to get 75.

$$\frac{75}{165}$$

Reduce the fraction \frac{75}{165} to lowest terms by extracting and canceling out 15.

$$\frac{5}{11}$$

Factor

$$\frac{5}{11} = 0.45454545454545453$$