Question

solve it (-4/9) + (-5/12)

Answer 1

$\LARGE\star\mathfrak{\underline{\underline{\red{answer: }}}}$

$\sf{ (\frac{ - 4}{9} ) + ( \frac{ - 5}{12} )} \\ \\ \sf{ = \frac{ - 4}{9} - \frac{5}{12} } \\ \\ \sf{ = \frac{ - 16 - 15 }{36} } \\ \\ \sf{ = \frac{ - 31}{36} }$

$\boxed{\sf{answer = - \frac{ 31}{36} }}$

Answer 2

Answer:

QUESTION :-

Q. solve it (-4/9) + (-5/12)

SOLUTION :-

$\frac{ - 4}{9} + ( \frac{ - 5}{12} )$

• NOW LETS FIND THE LCM OF 9 AND 12

⠀⠀____________

⠀3| 9, 12

⠀⠀______________

⠀3| 3, 4

⠀⠀______________

⠀2| 1 , 4

⠀⠀______________

⠀2| 1, 2

⠀⠀______________

⠀ | 1 , 1

LCM = 3× 3 × 2 × 2 = 9×4 = 36

now , we know that LCM of 9 and 12 is 36

so let's equal the denominator

here we know that 36 comes in 4th time in 9s table

9×4 = 36

we also 36 comes in 3rd time in 12s table

12× 3 = 36

_____________________________________

we have to multiple the number in both denominator and numerator

$\frac{ - 4 \times 4}{9 \times 4} + (\frac{ - 5 \times 3}{12 \times 3} ) \\ = \frac{ - 16}{36} + \frac{ - 15}{36})$

since the denominator is the same ,

we will add both fraction together!

$\frac{ - 16 + ( - 15)}{36}$

here we know that

[ - ] [ + ] = [ - ] and [ - ] [ - ] = [ + ]

so,

$\frac{ - 16 - 15}{36} \\ = \frac{(16 + 15)}{36} \\ = \frac{-31}{36}$

therefore the answers is $\frac{-31}{36}$

__________________________________________

more to know ↓

• while adding or subtracting the 2 fractions we should pay more attention on signs.
• while changing the signs we have aware of what biggest number have the sign

[ like :- (-2) + (6) here "+6" is the biggest because it carries the positive sign so the sum will be in postive ]