Solve 79/20-517/30

$$7 \frac { 9 } { 20 } - 5 \frac { 17 } { 30 }$$

Evaluate

$$\frac{113}{60}\approx 1.883333333$$

Solution Steps

Multiply 7 and 20 to get 140.

$$\frac{140+9}{20}-\frac{5\times 30+17}{30}$$

Add 140 and 9 to get 149.

$$\frac{149}{20}-\frac{5\times 30+17}{30}$$

Multiply 5 and 30 to get 150.

$$\frac{149}{20}-\frac{150+17}{30}$$

Add 150 and 17 to get 167.

$$\frac{149}{20}-\frac{167}{30}$$

Least common multiple of 20 and 30 is 60. Convert \frac{149}{20} and \frac{167}{30} to fractions with denominator 60.

$$\frac{447}{60}-\frac{334}{60}$$

Since \frac{447}{60} and \frac{334}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{447-334}{60}$$

Subtract 334 from 447 to get 113.

$$\frac{113}{60}$$

Factor

$$\frac{113}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{53}{60} = 1.8833333333333333$$