Solve 9/2+6/4+12/8

$$\frac{ 9 }{ 2 } + \frac{ 6 }{ 4 } + \frac{ 12 }{ 8 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+\frac{3}{2}+\frac{12}{8}$$

Since \frac{9}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+3}{2}+\frac{12}{8}$$

Add 9 and 3 to get 12.

$$\frac{12}{2}+\frac{12}{8}$$

Divide 12 by 2 to get 6.

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

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

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

Convert 6 to fraction \frac{12}{2}.

$$\frac{12}{2}+\frac{3}{2}$$

Since \frac{12}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{12+3}{2}$$

Add 12 and 3 to get 15.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$