Solve 813/100-73/25

$$8 \frac{ 13 }{ 100 } -7 \frac{ 3 }{ 25 }$$

Evaluate

$$\frac{101}{100}=1.01$$

Solution Steps

Multiply 8 and 100 to get 800.

$$\frac{800+13}{100}-\frac{7\times 25+3}{25}$$

Add 800 and 13 to get 813.

$$\frac{813}{100}-\frac{7\times 25+3}{25}$$

Multiply 7 and 25 to get 175.

$$\frac{813}{100}-\frac{175+3}{25}$$

Add 175 and 3 to get 178.

$$\frac{813}{100}-\frac{178}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{813}{100} and \frac{178}{25} to fractions with denominator 100.

$$\frac{813}{100}-\frac{712}{100}$$

Since \frac{813}{100} and \frac{712}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{813-712}{100}$$

Subtract 712 from 813 to get 101.

$$\frac{101}{100}$$

Factor

$$\frac{101}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{1}{100} = 1.01$$