Solve 3/4+6/2+8/6

$$\frac { 3 } { 4 } + \frac { 6 } { 2 } + \frac { 8 } { 6 }$$

Evaluate

$$\frac{61}{12}\approx 5.083333333$$

Solution Steps

Divide 6 by 2 to get 3.

$$\frac{3}{4}+3+\frac{8}{6}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{3}{4}+\frac{12}{4}+\frac{8}{6}$$

Since \frac{3}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{4}+\frac{8}{6}$$

Add 3 and 12 to get 15.

$$\frac{15}{4}+\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}+\frac{4}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{15}{4} and \frac{4}{3} to fractions with denominator 12.

$$\frac{45}{12}+\frac{16}{12}$$

Since \frac{45}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.

$$\frac{45+16}{12}$$

Add 45 and 16 to get 61.

$$\frac{61}{12}$$

Factor

$$\frac{61}{2 ^ {2} \cdot 3} = 5\frac{1}{12} = 5.083333333333333$$