Solve 7/2+4-7/12

$$\frac { 7 } { 2 } + 4 - \frac { 7 } { 12 }$$

Evaluate

$$\frac{83}{12}\approx 6.916666667$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

$$\frac{7}{2}+\frac{8}{2}-\frac{7}{12}$$

Since \frac{7}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{2}-\frac{7}{12}$$

Add 7 and 8 to get 15.

$$\frac{15}{2}-\frac{7}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{15}{2} and \frac{7}{12} to fractions with denominator 12.

$$\frac{90}{12}-\frac{7}{12}$$

Since \frac{90}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-7}{12}$$

Subtract 7 from 90 to get 83.

$$\frac{83}{12}$$

Factor

$$\frac{83}{2 ^ {2} \cdot 3} = 6\frac{11}{12} = 6.916666666666667$$