Solve 7-1/3-5/4+2/9

$$7 - \frac { 1 } { 3 } - \frac { 5 } { 4 } + \frac { 2 } { 9 }$$

Evaluate

$$\frac{203}{36}\approx 5.638888889$$

Solution Steps

Convert 7 to fraction \frac{21}{3}.

$$\frac{21}{3}-\frac{1}{3}-\frac{5}{4}+\frac{2}{9}$$

Since \frac{21}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-1}{3}-\frac{5}{4}+\frac{2}{9}$$

Subtract 1 from 21 to get 20.

$$\frac{20}{3}-\frac{5}{4}+\frac{2}{9}$$

Least common multiple of 3 and 4 is 12. Convert \frac{20}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{80}{12}-\frac{15}{12}+\frac{2}{9}$$

Since \frac{80}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-15}{12}+\frac{2}{9}$$

Subtract 15 from 80 to get 65.

$$\frac{65}{12}+\frac{2}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{65}{12} and \frac{2}{9} to fractions with denominator 36.

$$\frac{195}{36}+\frac{8}{36}$$

Since \frac{195}{36} and \frac{8}{36} have the same denominator, add them by adding their numerators.

$$\frac{195+8}{36}$$

Add 195 and 8 to get 203.

$$\frac{203}{36}$$

Factor

$$\frac{7 \cdot 29}{2 ^ {2} \cdot 3 ^ {2}} = 5\frac{23}{36} = 5.638888888888889$$