Solve 31/2+15/39+(-3,5)

$$3 \frac { 1 } { 2 } + \frac { 15 } { 39 } + ( - 3,5 )$$

Evaluate

$$\frac{5}{13}\approx 0,384615385$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{15}{39}-3,5$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{15}{39}-3,5$$

Reduce the fraction \frac{15}{39} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}+\frac{5}{13}-3,5$$

Least common multiple of 2 and 13 is 26. Convert \frac{7}{2} and \frac{5}{13} to fractions with denominator 26.

$$\frac{91}{26}+\frac{10}{26}-3,5$$

Since \frac{91}{26} and \frac{10}{26} have the same denominator, add them by adding their numerators.

$$\frac{91+10}{26}-3,5$$

Add 91 and 10 to get 101.

$$\frac{101}{26}-3,5$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{101}{26}-\frac{7}{2}$$

Least common multiple of 26 and 2 is 26. Convert \frac{101}{26} and \frac{7}{2} to fractions with denominator 26.

$$\frac{101}{26}-\frac{91}{26}$$

Since \frac{101}{26} and \frac{91}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{101-91}{26}$$

Subtract 91 from 101 to get 10.

$$\frac{10}{26}$$

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

$$\frac{5}{13}$$

Factor

$$\frac{5}{13} = 0.38461538461538464$$