Solve -13/20+11/14+-5/7+7/10

$$\frac { - 13 } { 20 } + \frac { 11 } { 14 } + \frac { - 5 } { 7 } + \frac { 7 } { 10 }$$

Evaluate

$$\frac{17}{140}\approx 0.121428571$$

Solution Steps

Fraction \frac{-13}{20} can be rewritten as -\frac{13}{20} by extracting the negative sign.

$$-\frac{13}{20}+\frac{11}{14}+\frac{-5}{7}+\frac{7}{10}$$

Least common multiple of 20 and 14 is 140. Convert -\frac{13}{20} and \frac{11}{14} to fractions with denominator 140.

$$-\frac{91}{140}+\frac{110}{140}+\frac{-5}{7}+\frac{7}{10}$$

Since -\frac{91}{140} and \frac{110}{140} have the same denominator, add them by adding their numerators.

$$\frac{-91+110}{140}+\frac{-5}{7}+\frac{7}{10}$$

Add -91 and 110 to get 19.

$$\frac{19}{140}+\frac{-5}{7}+\frac{7}{10}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$\frac{19}{140}-\frac{5}{7}+\frac{7}{10}$$

Least common multiple of 140 and 7 is 140. Convert \frac{19}{140} and \frac{5}{7} to fractions with denominator 140.

$$\frac{19}{140}-\frac{100}{140}+\frac{7}{10}$$

Since \frac{19}{140} and \frac{100}{140} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-100}{140}+\frac{7}{10}$$

Subtract 100 from 19 to get -81.

$$-\frac{81}{140}+\frac{7}{10}$$

Least common multiple of 140 and 10 is 140. Convert -\frac{81}{140} and \frac{7}{10} to fractions with denominator 140.

$$-\frac{81}{140}+\frac{98}{140}$$

Since -\frac{81}{140} and \frac{98}{140} have the same denominator, add them by adding their numerators.

$$\frac{-81+98}{140}$$

Add -81 and 98 to get 17.

$$\frac{17}{140}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5 \cdot 7} = 0.12142857142857143$$