Question

add the rational numbers
-5/12+(-6/5)​

Answer 1

Given:

• add the rational numbers

To Find:

• the sun of the rational numbers

Solution:

given numbers:

$\sf\frac{ - 5}{12} \: and \: \frac{ - 6}{5}$

so,now let's add them

$\frac{ - 5}{12} + ( \frac{ - 6}{5} )$

note: when you add two fractions you should make their denominators equal.

so let's find the least common multiple of 12 and 5

➷now, their LCM is 60

$\frac{ - 5 \times 5}{ \: \: \: 12 \times 5} + \frac{ - 6 \times 12}{ \: \: \: 5 \times 12} \\ \\ \frac{ - 25}{ \: \: \: 60} + \frac{ - 72}{ \: \: \: 60} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \frac{ - 25}{ \: \: \: 60} - \frac{72}{60} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \frac{ - 97}{ \: \: \: 60} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

therefore the sum is

$- \dfrac{97}{60} ^{ \bigstar}$