Solve 5/2+1/3-3/4=

$$\frac{ 5 }{ 2 } + \frac{ 1 }{ 3 } - \frac{ 3 }{ 4 } =$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{2}{6}-\frac{3}{4}$$

Since \frac{15}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{6}-\frac{3}{4}$$

Add 15 and 2 to get 17.

$$\frac{17}{6}-\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{17}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{34}{12}-\frac{9}{12}$$

Since \frac{34}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-9}{12}$$

Subtract 9 from 34 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$