Solve 7/3+5/2>2/3-5/2

$$\frac { 7 } { 3 } + \frac { 5 } { 2 } > \frac { 2 } { 3 } - \frac { 5 } { 2 }$$

Verify

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{7}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{14}{6}+\frac{15}{6}>\frac{2}{3}-\frac{5}{2}$$

Since \frac{14}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+15}{6}>\frac{2}{3}-\frac{5}{2}$$

Add 14 and 15 to get 29.

$$\frac{29}{6}>\frac{2}{3}-\frac{5}{2}$$

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

$$\frac{29}{6}>\frac{4}{6}-\frac{15}{6}$$

Since \frac{4}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29}{6}>\frac{4-15}{6}$$

Subtract 15 from 4 to get -11.

$$\frac{29}{6}>-\frac{11}{6}$$

Compare \frac{29}{6} and -\frac{11}{6}.

$$\text{true}$$