Solve 691/10-4519/20

$$69 \frac { 1 } { 10 } - 45 \frac { 19 } { 20 }$$

Evaluate

$$\frac{463}{20}=23.15$$

Solution Steps

Multiply 69 and 10 to get 690.

$$\frac{690+1}{10}-\frac{45\times 20+19}{20}$$

Add 690 and 1 to get 691.

$$\frac{691}{10}-\frac{45\times 20+19}{20}$$

Multiply 45 and 20 to get 900.

$$\frac{691}{10}-\frac{900+19}{20}$$

Add 900 and 19 to get 919.

$$\frac{691}{10}-\frac{919}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{691}{10} and \frac{919}{20} to fractions with denominator 20.

$$\frac{1382}{20}-\frac{919}{20}$$

Since \frac{1382}{20} and \frac{919}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1382-919}{20}$$

Subtract 919 from 1382 to get 463.

$$\frac{463}{20}$$

Factor

$$\frac{463}{2 ^ {2} \cdot 5} = 23\frac{3}{20} = 23.15$$