Solve 65-1/4+2/3-25/9

$$65 - \frac { 1 } { 4 } + \frac { 2 } { 3 } - \frac { 25 } { 9 }$$

Evaluate

$$\frac{2255}{36}\approx 62.638888889$$

Solution Steps

Convert 65 to fraction \frac{260}{4}.

$$\frac{260}{4}-\frac{1}{4}+\frac{2}{3}-\frac{25}{9}$$

Since \frac{260}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{260-1}{4}+\frac{2}{3}-\frac{25}{9}$$

Subtract 1 from 260 to get 259.

$$\frac{259}{4}+\frac{2}{3}-\frac{25}{9}$$

Least common multiple of 4 and 3 is 12. Convert \frac{259}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{777}{12}+\frac{8}{12}-\frac{25}{9}$$

Since \frac{777}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{777+8}{12}-\frac{25}{9}$$

Add 777 and 8 to get 785.

$$\frac{785}{12}-\frac{25}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{785}{12} and \frac{25}{9} to fractions with denominator 36.

$$\frac{2355}{36}-\frac{100}{36}$$

Since \frac{2355}{36} and \frac{100}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2355-100}{36}$$

Subtract 100 from 2355 to get 2255.

$$\frac{2255}{36}$$

Factor

$$\frac{5 \cdot 11 \cdot 41}{2 ^ {2} \cdot 3 ^ {2}} = 62\frac{23}{36} = 62.638888888888886$$