Solve 3116/11+37.74

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

Evaluate

$$\frac{176557}{550}\approx 321.012727273$$

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, add them by adding their numerators.

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

Add 155800 and 20757 to get 176557.

$$\frac{176557}{550}$$

Factor

$$\frac{176557}{2 \cdot 11 \cdot 5 ^ {2}} = 321\frac{7}{550} = 321.01272727272726$$