Solve 40/50+50/12+10/2=

$$\frac{ 40 }{ 50 } + \frac{ 50 }{ 12 } + \frac{ 10 }{ 2 } =$$

Evaluate

$$\frac{299}{30}\approx 9.966666667$$

Solution Steps

Reduce the fraction \frac{40}{50} to lowest terms by extracting and canceling out 10.

$$\frac{4}{5}+\frac{50}{12}+\frac{10}{2}$$

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{25}{6}+\frac{10}{2}$$

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{25}{6} to fractions with denominator 30.

$$\frac{24}{30}+\frac{125}{30}+\frac{10}{2}$$

Since \frac{24}{30} and \frac{125}{30} have the same denominator, add them by adding their numerators.

$$\frac{24+125}{30}+\frac{10}{2}$$

Add 24 and 125 to get 149.

$$\frac{149}{30}+\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$\frac{149}{30}+5$$

Convert 5 to fraction \frac{150}{30}.

$$\frac{149}{30}+\frac{150}{30}$$

Since \frac{149}{30} and \frac{150}{30} have the same denominator, add them by adding their numerators.

$$\frac{149+150}{30}$$

Add 149 and 150 to get 299.

$$\frac{299}{30}$$

Factor

$$\frac{13 \cdot 23}{2 \cdot 3 \cdot 5} = 9\frac{29}{30} = 9.966666666666667$$