Solve 529/360-37/63-11/70

$$\frac{ 529 }{ 360 } - \frac{ 37 }{ 63 } - \frac{ 11 }{ 70 }$$

Evaluate

$$\frac{29}{40}=0.725$$

Solution Steps

Least common multiple of 360 and 63 is 2520. Convert \frac{529}{360} and \frac{37}{63} to fractions with denominator 2520.

$$\frac{3703}{2520}-\frac{1480}{2520}-\frac{11}{70}$$

Since \frac{3703}{2520} and \frac{1480}{2520} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3703-1480}{2520}-\frac{11}{70}$$

Subtract 1480 from 3703 to get 2223.

$$\frac{2223}{2520}-\frac{11}{70}$$

Reduce the fraction \frac{2223}{2520} to lowest terms by extracting and canceling out 9.

$$\frac{247}{280}-\frac{11}{70}$$

Least common multiple of 280 and 70 is 280. Convert \frac{247}{280} and \frac{11}{70} to fractions with denominator 280.

$$\frac{247}{280}-\frac{44}{280}$$

Since \frac{247}{280} and \frac{44}{280} have the same denominator, subtract them by subtracting their numerators.

$$\frac{247-44}{280}$$

Subtract 44 from 247 to get 203.

$$\frac{203}{280}$$

Reduce the fraction \frac{203}{280} to lowest terms by extracting and canceling out 7.

$$\frac{29}{40}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 5} = 0.725$$