Solve 30/100+30/12.4+40/36

$$\frac{ 30 }{ 100 } + \frac{ 30 }{ 12.4 } + \frac{ 40 }{ 36 }$$

Evaluate

$$\frac{10687}{2790}\approx 3.83046595$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}+\frac{30}{12.4}+\frac{40}{36}$$

Expand \frac{30}{12.4} by multiplying both numerator and the denominator by 10.

$$\frac{3}{10}+\frac{300}{124}+\frac{40}{36}$$

Reduce the fraction \frac{300}{124} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}+\frac{75}{31}+\frac{40}{36}$$

Least common multiple of 10 and 31 is 310. Convert \frac{3}{10} and \frac{75}{31} to fractions with denominator 310.

$$\frac{93}{310}+\frac{750}{310}+\frac{40}{36}$$

Since \frac{93}{310} and \frac{750}{310} have the same denominator, add them by adding their numerators.

$$\frac{93+750}{310}+\frac{40}{36}$$

Add 93 and 750 to get 843.

$$\frac{843}{310}+\frac{40}{36}$$

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

$$\frac{843}{310}+\frac{10}{9}$$

Least common multiple of 310 and 9 is 2790. Convert \frac{843}{310} and \frac{10}{9} to fractions with denominator 2790.

$$\frac{7587}{2790}+\frac{3100}{2790}$$

Since \frac{7587}{2790} and \frac{3100}{2790} have the same denominator, add them by adding their numerators.

$$\frac{7587+3100}{2790}$$

Add 7587 and 3100 to get 10687.

$$\frac{10687}{2790}$$

Factor

$$\frac{10687}{2 \cdot 5 \cdot 31 \cdot 3 ^ {2}} = 3\frac{2317}{2790} = 3.8304659498207885$$