Solve 26/36-(13/23+18/20)=

$$\frac { 26 } { 36 } - ( \frac { 13 } { 23 } + \frac { 18 } { 20 } ) =$$

Evaluate

$$-\frac{769}{1035}\approx -0.742995169$$

Solution Steps

Reduce the fraction \frac{26}{36} to lowest terms by extracting and canceling out 2.

$$\frac{13}{18}-\left(\frac{13}{23}+\frac{18}{20}\right)$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{13}{18}-\left(\frac{13}{23}+\frac{9}{10}\right)$$

Least common multiple of 23 and 10 is 230. Convert \frac{13}{23} and \frac{9}{10} to fractions with denominator 230.

$$\frac{13}{18}-\left(\frac{130}{230}+\frac{207}{230}\right)$$

Since \frac{130}{230} and \frac{207}{230} have the same denominator, add them by adding their numerators.

$$\frac{13}{18}-\frac{130+207}{230}$$

Add 130 and 207 to get 337.

$$\frac{13}{18}-\frac{337}{230}$$

Least common multiple of 18 and 230 is 2070. Convert \frac{13}{18} and \frac{337}{230} to fractions with denominator 2070.

$$\frac{1495}{2070}-\frac{3033}{2070}$$

Since \frac{1495}{2070} and \frac{3033}{2070} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1495-3033}{2070}$$

Subtract 3033 from 1495 to get -1538.

$$\frac{-1538}{2070}$$

Reduce the fraction \frac{-1538}{2070} to lowest terms by extracting and canceling out 2.

$$-\frac{769}{1035}$$

Factor

$$-\frac{769}{1035} = -0.7429951690821256$$