Solve 11/24-5/41+13/24+0.5-36/41

$$\frac{ 11 }{ 24 } - \frac{ 5 }{ 41 } + \frac{ 13 }{ 24 } +0.5- \frac{ 36 }{ 41 }$$

Evaluate

$$0.5$$

Solution Steps

Least common multiple of 24 and 41 is 984. Convert \frac{11}{24} and \frac{5}{41} to fractions with denominator 984.

$$\frac{451}{984}-\frac{120}{984}+\frac{13}{24}+0.5-\frac{36}{41}$$

Since \frac{451}{984} and \frac{120}{984} have the same denominator, subtract them by subtracting their numerators.

$$\frac{451-120}{984}+\frac{13}{24}+0.5-\frac{36}{41}$$

Subtract 120 from 451 to get 331.

$$\frac{331}{984}+\frac{13}{24}+0.5-\frac{36}{41}$$

Least common multiple of 984 and 24 is 984. Convert \frac{331}{984} and \frac{13}{24} to fractions with denominator 984.

$$\frac{331}{984}+\frac{533}{984}+0.5-\frac{36}{41}$$

Since \frac{331}{984} and \frac{533}{984} have the same denominator, add them by adding their numerators.

$$\frac{331+533}{984}+0.5-\frac{36}{41}$$

Add 331 and 533 to get 864.

$$\frac{864}{984}+0.5-\frac{36}{41}$$

Reduce the fraction \frac{864}{984} to lowest terms by extracting and canceling out 24.

$$\frac{36}{41}+0.5-\frac{36}{41}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{36}{41}+\frac{1}{2}-\frac{36}{41}$$

Least common multiple of 41 and 2 is 82. Convert \frac{36}{41} and \frac{1}{2} to fractions with denominator 82.

$$\frac{72}{82}+\frac{41}{82}-\frac{36}{41}$$

Since \frac{72}{82} and \frac{41}{82} have the same denominator, add them by adding their numerators.

$$\frac{72+41}{82}-\frac{36}{41}$$

Add 72 and 41 to get 113.

$$\frac{113}{82}-\frac{36}{41}$$

Least common multiple of 82 and 41 is 82. Convert \frac{113}{82} and \frac{36}{41} to fractions with denominator 82.

$$\frac{113}{82}-\frac{72}{82}$$

Since \frac{113}{82} and \frac{72}{82} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-72}{82}$$

Subtract 72 from 113 to get 41.

$$\frac{41}{82}$$

Reduce the fraction \frac{41}{82} to lowest terms by extracting and canceling out 41.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$