Solve [81/486+8^2/36]

$$[ \frac { 81 } { 486 } + \frac { 8 ^ { 2 } } { 36 } ]$$

Evaluate

$$\frac{35}{18}\approx 1.944444444$$

Solution Steps

Reduce the fraction \frac{81}{486} to lowest terms by extracting and canceling out 81.

$$\frac{1}{6}+\frac{8^{2}}{36}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{1}{6}+\frac{64}{36}$$

Reduce the fraction \frac{64}{36} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}+\frac{16}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{1}{6} and \frac{16}{9} to fractions with denominator 18.

$$\frac{3}{18}+\frac{32}{18}$$

Since \frac{3}{18} and \frac{32}{18} have the same denominator, add them by adding their numerators.

$$\frac{3+32}{18}$$

Add 3 and 32 to get 35.

$$\frac{35}{18}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3 ^ {2}} = 1\frac{17}{18} = 1.9444444444444444$$