Solve 30/100+30/124+40/36

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

Evaluate

$$\frac{2306}{1395}\approx 1.653046595$$

Solution Steps

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

$$\frac{3}{10}+\frac{30}{124}+\frac{40}{36}$$

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

$$\frac{3}{10}+\frac{15}{62}+\frac{40}{36}$$

Least common multiple of 10 and 62 is 310. Convert \frac{3}{10} and \frac{15}{62} to fractions with denominator 310.

$$\frac{93}{310}+\frac{75}{310}+\frac{40}{36}$$

Since \frac{93}{310} and \frac{75}{310} have the same denominator, add them by adding their numerators.

$$\frac{93+75}{310}+\frac{40}{36}$$

Add 93 and 75 to get 168.

$$\frac{168}{310}+\frac{40}{36}$$

Reduce the fraction \frac{168}{310} to lowest terms by extracting and canceling out 2.

$$\frac{84}{155}+\frac{40}{36}$$

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

$$\frac{84}{155}+\frac{10}{9}$$

Least common multiple of 155 and 9 is 1395. Convert \frac{84}{155} and \frac{10}{9} to fractions with denominator 1395.

$$\frac{756}{1395}+\frac{1550}{1395}$$

Since \frac{756}{1395} and \frac{1550}{1395} have the same denominator, add them by adding their numerators.

$$\frac{756+1550}{1395}$$

Add 756 and 1550 to get 2306.

$$\frac{2306}{1395}$$

Factor

$$\frac{2 \cdot 1153}{3 ^ {2} \cdot 5 \cdot 31} = 1\frac{911}{1395} = 1.653046594982079$$