Solve -911/13+625/39

$$-9 \frac{ 11 }{ 13 } +6 \frac{ 25 }{ 39 }$$

Evaluate

$$-\frac{125}{39}\approx -3.205128205$$

Solution Steps

Multiply 9 and 13 to get 117.

$$-\frac{117+11}{13}+\frac{6\times 39+25}{39}$$

Add 117 and 11 to get 128.

$$-\frac{128}{13}+\frac{6\times 39+25}{39}$$

Multiply 6 and 39 to get 234.

$$-\frac{128}{13}+\frac{234+25}{39}$$

Add 234 and 25 to get 259.

$$-\frac{128}{13}+\frac{259}{39}$$

Least common multiple of 13 and 39 is 39. Convert -\frac{128}{13} and \frac{259}{39} to fractions with denominator 39.

$$-\frac{384}{39}+\frac{259}{39}$$

Since -\frac{384}{39} and \frac{259}{39} have the same denominator, add them by adding their numerators.

$$\frac{-384+259}{39}$$

Add -384 and 259 to get -125.

$$-\frac{125}{39}$$

Factor

$$-\frac{125}{39} = -3\frac{8}{39} = -3.2051282051282053$$