Solve 3116/11-37.74

$$\frac{ 3116 }{ 11 } -37.74$$

Evaluate

$$\frac{135043}{550}\approx 245.532727273$$

Solution Steps

Convert decimal number 37.74 to fraction \frac{3774}{100}. Reduce the fraction \frac{3774}{100} to lowest terms by extracting and canceling out 2.

$$\frac{3116}{11}-\frac{1887}{50}$$

Least common multiple of 11 and 50 is 550. Convert \frac{3116}{11} and \frac{1887}{50} to fractions with denominator 550.

$$\frac{155800}{550}-\frac{20757}{550}$$

Since \frac{155800}{550} and \frac{20757}{550} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155800-20757}{550}$$

Subtract 20757 from 155800 to get 135043.

$$\frac{135043}{550}$$

Factor

$$\frac{135043}{2 \cdot 11 \cdot 5 ^ {2}} = 245\frac{293}{550} = 245.53272727272727$$