Solve 31/2+15/39+(-35)

$$3 \frac { 1 } { 2 } + \frac { 15 } { 39 } + ( - 35 )$$

Evaluate

$$-\frac{809}{26}\approx -31.115384615$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{15}{39}-35$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{15}{39}-35$$

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

$$\frac{7}{2}+\frac{5}{13}-35$$

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

$$\frac{91}{26}+\frac{10}{26}-35$$

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

$$\frac{91+10}{26}-35$$

Add 91 and 10 to get 101.

$$\frac{101}{26}-35$$

Convert 35 to fraction \frac{910}{26}.

$$\frac{101}{26}-\frac{910}{26}$$

Since \frac{101}{26} and \frac{910}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{101-910}{26}$$

Subtract 910 from 101 to get -809.

$$-\frac{809}{26}$$

Factor

$$-\frac{809}{26} = -31\frac{3}{26} = -31.115384615384617$$