Solve 13/16+5/12+3/16+7/12

$$\frac { 13 } { 16 } + \frac { 5 } { 12 } + \frac { 3 } { 16 } + \frac { 7 } { 12 }$$

Evaluate

$$2$$

Solution Steps

Least common multiple of 16 and 12 is 48. Convert \frac{13}{16} and \frac{5}{12} to fractions with denominator 48.

$$\frac{39}{48}+\frac{20}{48}+\frac{3}{16}+\frac{7}{12}$$

Since \frac{39}{48} and \frac{20}{48} have the same denominator, add them by adding their numerators.

$$\frac{39+20}{48}+\frac{3}{16}+\frac{7}{12}$$

Add 39 and 20 to get 59.

$$\frac{59}{48}+\frac{3}{16}+\frac{7}{12}$$

Least common multiple of 48 and 16 is 48. Convert \frac{59}{48} and \frac{3}{16} to fractions with denominator 48.

$$\frac{59}{48}+\frac{9}{48}+\frac{7}{12}$$

Since \frac{59}{48} and \frac{9}{48} have the same denominator, add them by adding their numerators.

$$\frac{59+9}{48}+\frac{7}{12}$$

Add 59 and 9 to get 68.

$$\frac{68}{48}+\frac{7}{12}$$

Reduce the fraction \frac{68}{48} to lowest terms by extracting and canceling out 4.

$$\frac{17}{12}+\frac{7}{12}$$

Since \frac{17}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{17+7}{12}$$

Add 17 and 7 to get 24.

$$\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$2$$

Factor

$$2$$