Solve -9/14+14/7-(+3/5)+(+3/7)-(-frac{3}{25})-frac{5}{14}

$$- \frac { 9 } { 14 } + \frac { 14 } { 7 } - ( + \frac { 3 } { 5 } ) + ( + \frac { 3 } { 7 } ) - ( - \frac { 3 } { 25 } ) - \frac { 5 } { 14 }$$

Evaluate

$$\frac{166}{175}\approx 0.948571429$$

Solution Steps

Divide 14 by 7 to get 2.

$$-\frac{9}{14}+2-\frac{3}{5}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Convert 2 to fraction \frac{28}{14}.

$$-\frac{9}{14}+\frac{28}{14}-\frac{3}{5}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Since -\frac{9}{14} and \frac{28}{14} have the same denominator, add them by adding their numerators.

$$\frac{-9+28}{14}-\frac{3}{5}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Add -9 and 28 to get 19.

$$\frac{19}{14}-\frac{3}{5}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Least common multiple of 14 and 5 is 70. Convert \frac{19}{14} and \frac{3}{5} to fractions with denominator 70.

$$\frac{95}{70}-\frac{42}{70}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Since \frac{95}{70} and \frac{42}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-42}{70}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Subtract 42 from 95 to get 53.

$$\frac{53}{70}+\frac{3}{7}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Least common multiple of 70 and 7 is 70. Convert \frac{53}{70} and \frac{3}{7} to fractions with denominator 70.

$$\frac{53}{70}+\frac{30}{70}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Since \frac{53}{70} and \frac{30}{70} have the same denominator, add them by adding their numerators.

$$\frac{53+30}{70}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

Add 53 and 30 to get 83.

$$\frac{83}{70}-\left(-\frac{3}{25}\right)-\frac{5}{14}$$

The opposite of -\frac{3}{25} is \frac{3}{25}.

$$\frac{83}{70}+\frac{3}{25}-\frac{5}{14}$$

Least common multiple of 70 and 25 is 350. Convert \frac{83}{70} and \frac{3}{25} to fractions with denominator 350.

$$\frac{415}{350}+\frac{42}{350}-\frac{5}{14}$$

Since \frac{415}{350} and \frac{42}{350} have the same denominator, add them by adding their numerators.

$$\frac{415+42}{350}-\frac{5}{14}$$

Add 415 and 42 to get 457.

$$\frac{457}{350}-\frac{5}{14}$$

Least common multiple of 350 and 14 is 350. Convert \frac{457}{350} and \frac{5}{14} to fractions with denominator 350.

$$\frac{457}{350}-\frac{125}{350}$$

Since \frac{457}{350} and \frac{125}{350} have the same denominator, subtract them by subtracting their numerators.

$$\frac{457-125}{350}$$

Subtract 125 from 457 to get 332.

$$\frac{332}{350}$$

Reduce the fraction \frac{332}{350} to lowest terms by extracting and canceling out 2.

$$\frac{166}{175}$$

Factor

$$\frac{2 \cdot 83}{5 ^ {2} \cdot 7} = 0.9485714285714286$$