Solve 6/10>1/2>1/3

$$\frac { 6 } { 10 } > \frac { 1 } { 2 } > \frac { 1 } { 3 }$$

Verify

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}>\frac{1}{2}\text{ and }\frac{1}{2}>\frac{1}{3}$$

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{6}{10}>\frac{5}{10}\text{ and }\frac{1}{2}>\frac{1}{3}$$

Compare \frac{6}{10} and \frac{5}{10}.

$$\text{true}\text{ and }\frac{1}{2}>\frac{1}{3}$$

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

$$\text{true}\text{ and }\frac{3}{6}>\frac{2}{6}$$

Compare \frac{3}{6} and \frac{2}{6}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$