Solve 84/85-16/23>68/62

$$\frac { 84 } { 85 } - \frac { 16 } { 23 } > \frac { 68 } { 62 }$$

Verify

Solution Steps

Least common multiple of 85 and 23 is 1955. Convert \frac{84}{85} and \frac{16}{23} to fractions with denominator 1955.

$$\frac{1932}{1955}-\frac{1360}{1955}>\frac{68}{62}$$

Since \frac{1932}{1955} and \frac{1360}{1955} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1932-1360}{1955}>\frac{68}{62}$$

Subtract 1360 from 1932 to get 572.

$$\frac{572}{1955}>\frac{68}{62}$$

Reduce the fraction \frac{68}{62} to lowest terms by extracting and canceling out 2.

$$\frac{572}{1955}>\frac{34}{31}$$

Least common multiple of 1955 and 31 is 60605. Convert \frac{572}{1955} and \frac{34}{31} to fractions with denominator 60605.

$$\frac{17732}{60605}>\frac{66470}{60605}$$

Compare \frac{17732}{60605} and \frac{66470}{60605}.

$$\text{false}$$