Solve 3/4-(-7/3)

$$\frac{ 3 }{ 4 } -(- \frac{ 7 }{ 3 } )$$

Evaluate

$$\frac{37}{12}\approx 3.083333333$$

Solution Steps

The opposite of -\frac{7}{3} is \frac{7}{3}.

$$\frac{3}{4}+\frac{7}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{7}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{28}{12}$$

Since \frac{9}{12} and \frac{28}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+28}{12}$$

Add 9 and 28 to get 37.

$$\frac{37}{12}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3} = 3\frac{1}{12} = 3.0833333333333335$$