Solve 28/15+3/50+1/2=

$$\frac{ 28 }{ 15 } + \frac{ 3 }{ 50 } + \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{182}{75}\approx 2.426666667$$

Solution Steps

Least common multiple of 15 and 50 is 150. Convert \frac{28}{15} and \frac{3}{50} to fractions with denominator 150.

$$\frac{280}{150}+\frac{9}{150}+\frac{1}{2}$$

Since \frac{280}{150} and \frac{9}{150} have the same denominator, add them by adding their numerators.

$$\frac{280+9}{150}+\frac{1}{2}$$

Add 280 and 9 to get 289.

$$\frac{289}{150}+\frac{1}{2}$$

Least common multiple of 150 and 2 is 150. Convert \frac{289}{150} and \frac{1}{2} to fractions with denominator 150.

$$\frac{289}{150}+\frac{75}{150}$$

Since \frac{289}{150} and \frac{75}{150} have the same denominator, add them by adding their numerators.

$$\frac{289+75}{150}$$

Add 289 and 75 to get 364.

$$\frac{364}{150}$$

Reduce the fraction \frac{364}{150} to lowest terms by extracting and canceling out 2.

$$\frac{182}{75}$$

Factor

$$\frac{2 \cdot 7 \cdot 13}{3 \cdot 5 ^ {2}} = 2\frac{32}{75} = 2.4266666666666667$$