Solve 7^2/3+5/4

$$\frac { 7 ^ { 2 } } { 3 } + \frac { 5 } { 4 }$$

Evaluate

$$\frac{211}{12}\approx 17.583333333$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{49}{3}+\frac{5}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{49}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{196}{12}+\frac{15}{12}$$

Since \frac{196}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{196+15}{12}$$

Add 196 and 15 to get 211.

$$\frac{211}{12}$$

Factor

$$\frac{211}{2 ^ {2} \cdot 3} = 17\frac{7}{12} = 17.583333333333332$$