Solve 39/12+26/10+3/20

$$\frac { 39 } { 12 } + \frac { 26 } { 10 } + \frac { 3 } { 20 }$$

Evaluate

$$6$$

Solution Steps

Reduce the fraction \frac{39}{12} to lowest terms by extracting and canceling out 3.

$$\frac{13}{4}+\frac{26}{10}+\frac{3}{20}$$

Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{4}+\frac{13}{5}+\frac{3}{20}$$

Least common multiple of 4 and 5 is 20. Convert \frac{13}{4} and \frac{13}{5} to fractions with denominator 20.

$$\frac{65}{20}+\frac{52}{20}+\frac{3}{20}$$

Since \frac{65}{20} and \frac{52}{20} have the same denominator, add them by adding their numerators.

$$\frac{65+52}{20}+\frac{3}{20}$$

Add 65 and 52 to get 117.

$$\frac{117}{20}+\frac{3}{20}$$

Since \frac{117}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{117+3}{20}$$

Add 117 and 3 to get 120.

$$\frac{120}{20}$$

Divide 120 by 20 to get 6.

$$6$$

Factor

$$2\times 3$$