Solve 5/8-1/3+(3)^2

$$\frac { 5 } { 8 } - \frac { 1 } { 3 } + ( 3 ) ^ { 2 }$$

Evaluate

$$\frac{223}{24}\approx 9.291666667$$

Solution Steps

Least common multiple of 8 and 3 is 24. Convert \frac{5}{8} and \frac{1}{3} to fractions with denominator 24.

$$\frac{15}{24}-\frac{8}{24}+3^{2}$$

Since \frac{15}{24} and \frac{8}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{24}+3^{2}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{24}+3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{7}{24}+9$$

Convert 9 to fraction \frac{216}{24}.

$$\frac{7}{24}+\frac{216}{24}$$

Since \frac{7}{24} and \frac{216}{24} have the same denominator, add them by adding their numerators.

$$\frac{7+216}{24}$$

Add 7 and 216 to get 223.

$$\frac{223}{24}$$

Factor

$$\frac{223}{2 ^ {3} \cdot 3} = 9\frac{7}{24} = 9.291666666666666$$