Solve 1/5+3/8+2/4=

$$\frac{ 1 }{ 5 } + \frac{ 3 }{ 8 } + \frac{ 2 }{ 4 } =$$

Evaluate

$$\frac{43}{40}=1.075$$

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{1}{5} and \frac{3}{8} to fractions with denominator 40.

$$\frac{8}{40}+\frac{15}{40}+\frac{2}{4}$$

Since \frac{8}{40} and \frac{15}{40} have the same denominator, add them by adding their numerators.

$$\frac{8+15}{40}+\frac{2}{4}$$

Add 8 and 15 to get 23.

$$\frac{23}{40}+\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{23}{40}+\frac{1}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{23}{40} and \frac{1}{2} to fractions with denominator 40.

$$\frac{23}{40}+\frac{20}{40}$$

Since \frac{23}{40} and \frac{20}{40} have the same denominator, add them by adding their numerators.

$$\frac{23+20}{40}$$

Add 23 and 20 to get 43.

$$\frac{43}{40}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 5} = 1\frac{3}{40} = 1.075$$