Solve 7/26-6/50+29/36-6/50

$$\frac{ 7 }{ 26 } - \frac{ 6 }{ 50 } + \frac{ 29 }{ 36 } - \frac{ 6 }{ 50 }$$

Evaluate

$$\frac{9767}{11700}\approx 0.834786325$$

Solution Steps

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{7}{26}-\frac{3}{25}+\frac{29}{36}-\frac{6}{50}$$

Least common multiple of 26 and 25 is 650. Convert \frac{7}{26} and \frac{3}{25} to fractions with denominator 650.

$$\frac{175}{650}-\frac{78}{650}+\frac{29}{36}-\frac{6}{50}$$

Since \frac{175}{650} and \frac{78}{650} have the same denominator, subtract them by subtracting their numerators.

$$\frac{175-78}{650}+\frac{29}{36}-\frac{6}{50}$$

Subtract 78 from 175 to get 97.

$$\frac{97}{650}+\frac{29}{36}-\frac{6}{50}$$

Least common multiple of 650 and 36 is 11700. Convert \frac{97}{650} and \frac{29}{36} to fractions with denominator 11700.

$$\frac{1746}{11700}+\frac{9425}{11700}-\frac{6}{50}$$

Since \frac{1746}{11700} and \frac{9425}{11700} have the same denominator, add them by adding their numerators.

$$\frac{1746+9425}{11700}-\frac{6}{50}$$

Add 1746 and 9425 to get 11171.

$$\frac{11171}{11700}-\frac{6}{50}$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{11171}{11700}-\frac{3}{25}$$

Least common multiple of 11700 and 25 is 11700. Convert \frac{11171}{11700} and \frac{3}{25} to fractions with denominator 11700.

$$\frac{11171}{11700}-\frac{1404}{11700}$$

Since \frac{11171}{11700} and \frac{1404}{11700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11171-1404}{11700}$$

Subtract 1404 from 11171 to get 9767.

$$\frac{9767}{11700}$$

Factor

$$\frac{9767}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2} \cdot 13} = 0.8347863247863248$$