Solve 3/35+5/14-7/21

$$\frac{ 3 }{ 35 } + \frac{ 5 }{ 14 } - \frac{ 7 }{ 21 }$$

Evaluate

$$\frac{23}{210}\approx 0.10952381$$

Solution Steps

Least common multiple of 35 and 14 is 70. Convert \frac{3}{35} and \frac{5}{14} to fractions with denominator 70.

$$\frac{6}{70}+\frac{25}{70}-\frac{7}{21}$$

Since \frac{6}{70} and \frac{25}{70} have the same denominator, add them by adding their numerators.

$$\frac{6+25}{70}-\frac{7}{21}$$

Add 6 and 25 to get 31.

$$\frac{31}{70}-\frac{7}{21}$$

Reduce the fraction \frac{7}{21} to lowest terms by extracting and canceling out 7.

$$\frac{31}{70}-\frac{1}{3}$$

Least common multiple of 70 and 3 is 210. Convert \frac{31}{70} and \frac{1}{3} to fractions with denominator 210.

$$\frac{93}{210}-\frac{70}{210}$$

Since \frac{93}{210} and \frac{70}{210} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-70}{210}$$

Subtract 70 from 93 to get 23.

$$\frac{23}{210}$$

Factor

$$\frac{23}{2 \cdot 3 \cdot 5 \cdot 7} = 0.10952380952380952$$