Solve 3/8+5/12+7/36-4/9=

$$\frac { 3 } { 8 } + \frac { 5 } { 12 } + \frac { 7 } { 36 } - \frac { 4 } { 9 } =$$

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{3}{8} and \frac{5}{12} to fractions with denominator 24.

$$\frac{9}{24}+\frac{10}{24}+\frac{7}{36}-\frac{4}{9}$$

Since \frac{9}{24} and \frac{10}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{24}+\frac{7}{36}-\frac{4}{9}$$

Add 9 and 10 to get 19.

$$\frac{19}{24}+\frac{7}{36}-\frac{4}{9}$$

Least common multiple of 24 and 36 is 72. Convert \frac{19}{24} and \frac{7}{36} to fractions with denominator 72.

$$\frac{57}{72}+\frac{14}{72}-\frac{4}{9}$$

Since \frac{57}{72} and \frac{14}{72} have the same denominator, add them by adding their numerators.

$$\frac{57+14}{72}-\frac{4}{9}$$

Add 57 and 14 to get 71.

$$\frac{71}{72}-\frac{4}{9}$$

Least common multiple of 72 and 9 is 72. Convert \frac{71}{72} and \frac{4}{9} to fractions with denominator 72.

$$\frac{71}{72}-\frac{32}{72}$$

Since \frac{71}{72} and \frac{32}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-32}{72}$$

Subtract 32 from 71 to get 39.

$$\frac{39}{72}$$

Reduce the fraction \frac{39}{72} to lowest terms by extracting and canceling out 3.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$