Solve 1/4+1/8+1/5+7/40

$$\frac{ 1 }{ 4 } + \frac{ 1 }{ 8 } + \frac{ 1 }{ 5 } + \frac{ 7 }{ 40 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{2}{8}+\frac{1}{8}+\frac{1}{5}+\frac{7}{40}$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{8}+\frac{1}{5}+\frac{7}{40}$$

Add 2 and 1 to get 3.

$$\frac{3}{8}+\frac{1}{5}+\frac{7}{40}$$

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

$$\frac{15}{40}+\frac{8}{40}+\frac{7}{40}$$

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

$$\frac{15+8}{40}+\frac{7}{40}$$

Add 15 and 8 to get 23.

$$\frac{23}{40}+\frac{7}{40}$$

Since \frac{23}{40} and \frac{7}{40} have the same denominator, add them by adding their numerators.

$$\frac{23+7}{40}$$

Add 23 and 7 to get 30.

$$\frac{30}{40}$$

Reduce the fraction \frac{30}{40} to lowest terms by extracting and canceling out 10.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$