Solve 11/6+0.75=

$$\frac{ 11 }{ 6 } +0.75=$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{6}+\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{9}{12}$$

Since \frac{22}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+9}{12}$$

Add 22 and 9 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{3 \cdot 2 ^ {2}} = 2\frac{7}{12} = 2.5833333333333335$$