Solve 1/2+3/7-4/15

$$\frac { 1 } { 2 } + \frac { 3 } { 7 } - \frac { 4 } { 15 }$$

Evaluate

$$\frac{139}{210}\approx 0.661904762$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{3}{7} to fractions with denominator 14.

$$\frac{7}{14}+\frac{6}{14}-\frac{4}{15}$$

Since \frac{7}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{14}-\frac{4}{15}$$

Add 7 and 6 to get 13.

$$\frac{13}{14}-\frac{4}{15}$$

Least common multiple of 14 and 15 is 210. Convert \frac{13}{14} and \frac{4}{15} to fractions with denominator 210.

$$\frac{195}{210}-\frac{56}{210}$$

Since \frac{195}{210} and \frac{56}{210} have the same denominator, subtract them by subtracting their numerators.

$$\frac{195-56}{210}$$

Subtract 56 from 195 to get 139.

$$\frac{139}{210}$$

Factor

$$\frac{139}{2 \cdot 3 \cdot 5 \cdot 7} = 0.6619047619047619$$