Solve 3^6/100+30/124+40/36

$$\frac { 3 ^ { 6 } } { 100 } + \frac { 30 } { 124 } + \frac { 40 } { 36 }$$

Evaluate

$$\frac{241141}{27900}\approx 8.643046595$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$\frac{729}{100}+\frac{30}{124}+\frac{40}{36}$$

Reduce the fraction \frac{30}{124} to lowest terms by extracting and canceling out 2.

$$\frac{729}{100}+\frac{15}{62}+\frac{40}{36}$$

Least common multiple of 100 and 62 is 3100. Convert \frac{729}{100} and \frac{15}{62} to fractions with denominator 3100.

$$\frac{22599}{3100}+\frac{750}{3100}+\frac{40}{36}$$

Since \frac{22599}{3100} and \frac{750}{3100} have the same denominator, add them by adding their numerators.

$$\frac{22599+750}{3100}+\frac{40}{36}$$

Add 22599 and 750 to get 23349.

$$\frac{23349}{3100}+\frac{40}{36}$$

Reduce the fraction \frac{40}{36} to lowest terms by extracting and canceling out 4.

$$\frac{23349}{3100}+\frac{10}{9}$$

Least common multiple of 3100 and 9 is 27900. Convert \frac{23349}{3100} and \frac{10}{9} to fractions with denominator 27900.

$$\frac{210141}{27900}+\frac{31000}{27900}$$

Since \frac{210141}{27900} and \frac{31000}{27900} have the same denominator, add them by adding their numerators.

$$\frac{210141+31000}{27900}$$

Add 210141 and 31000 to get 241141.

$$\frac{241141}{27900}$$

Factor

$$\frac{241141}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2} \cdot 31} = 8\frac{17941}{27900} = 8.64304659498208$$