Solve 1/2+7/12-(-3)

$$\frac { 1 } { 2 } + \frac { 7 } { 12 } - ( - 3 )$$

Evaluate

$$\frac{49}{12}\approx 4.083333333$$

Solution Steps

Least common multiple of 2 and 12 is 12. Convert \frac{1}{2} and \frac{7}{12} to fractions with denominator 12.

$$\frac{6}{12}+\frac{7}{12}-\left(-3\right)$$

Since \frac{6}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{12}-\left(-3\right)$$

Add 6 and 7 to get 13.

$$\frac{13}{12}-\left(-3\right)$$

The opposite of -3 is 3.

$$\frac{13}{12}+3$$

Convert 3 to fraction \frac{36}{12}.

$$\frac{13}{12}+\frac{36}{12}$$

Since \frac{13}{12} and \frac{36}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+36}{12}$$

Add 13 and 36 to get 49.

$$\frac{49}{12}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3} = 4\frac{1}{12} = 4.083333333333333$$