Solve -3/7+1/3+1/10

$$\frac{ -3 }{ 7 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 10 }$$

Evaluate

$$\frac{1}{210}\approx 0.004761905$$

Solution Steps

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$-\frac{3}{7}+\frac{1}{3}+\frac{1}{10}$$

Least common multiple of 7 and 3 is 21. Convert -\frac{3}{7} and \frac{1}{3} to fractions with denominator 21.

$$-\frac{9}{21}+\frac{7}{21}+\frac{1}{10}$$

Since -\frac{9}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{-9+7}{21}+\frac{1}{10}$$

Add -9 and 7 to get -2.

$$-\frac{2}{21}+\frac{1}{10}$$

Least common multiple of 21 and 10 is 210. Convert -\frac{2}{21} and \frac{1}{10} to fractions with denominator 210.

$$-\frac{20}{210}+\frac{21}{210}$$

Since -\frac{20}{210} and \frac{21}{210} have the same denominator, add them by adding their numerators.

$$\frac{-20+21}{210}$$

Add -20 and 21 to get 1.

$$\frac{1}{210}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 5 \cdot 7} = 0.004761904761904762$$