Question

sum of rational numbers -15/35 and -12/12​

Answer 1

$\huge{\red{Answer:}}$

To find sum rational numbers, $\frac{-15}{35}\:and\:\frac{-12}{12}$ we have to make the denominators of rational numbers equal. For making them equal we have to find LCM.

LCM = 420.

$\frac{ - 15}{35} \times \frac{12}{12} = \frac{ - 180}{420} \\ \frac{ - 12}{12} \times \frac{35}{35} = \frac{ - 420}{420} \\ \frac{ - 180}{420} and \: \frac{ - 420}{420}$

Now we can find the sum of rational numbers $\frac{-180}{420} \:and \: \frac{-420}{420}$

$\frac{ - 180}{420} - \frac{ - 420}{420} \\ = \frac{ - 180 - ( - 420)}{420} \\ = - 180 - ( - 420) \\ = - 180 + 420 \\ = - 600 \: or \: \frac{ - 600}{420} \: or \: 1 \frac{ - 160}{420}$