Question

add the following rational numbers 5/8 -7/12 plz send me answer Fast and step by step explanation​

Answer 1

Answer :

$\huge{\boxed{\tt{ \dfrac{1}{24}}}}$

Explanation :

$\tt{ \dfrac{5}{8} (+) \dfrac{-7}{12}}$

For the addition of two fractions ; denominators must be same

Here the denominator isn't same ; so we will take the LCM

Taking the LCM will make the denominator same

$\tt{ LCM :-}$

$\tt{ \dfrac{5}{8} and \dfrac{-7}{12}}$

__________

2|_8 ,12___

2|_4, 6__

2|_2,3__

2|__1 , 3_

3| 1, 1

So , the LCM is => 24

_____________

When the denominators are same ; the numerators will also change.

$\tt{ \dfrac{5}{8} \times \dfrac{?}{?} \implies \dfrac {?}{24}}$

So , what number when multiplied by 8 gives 24 ?

The number is 3 ; so we will multiply 3 with both the numerator and denominator .

$\tt{ \dfrac{5}{8} \times \dfrac{3}{3} \implies \dfrac{15}{24}}$

$\tt{\dfrac{-7}{12} \times \dfrac{2}{2} \implies \dfrac{-14}{24}}$

The same rule of the number which when multiplied by 12 gives 24 is followed with both the numerator and denominator.

So , finally we have got 2 numbers with same denominators.

Now it will be easy to add them.

$\tt{ \dfrac{15}{24} (+) \dfrac{-14}{24}}$

$\tt{ \dfrac{15 + (-14)}{24}}$

$\tt{ \dfrac{15 - 14}{24}}$

$\large{\boxed{\tt{ \dfrac{1}{24}}}}$

Answer 2

Step-by-step explanation:

iska solutions to main send Kiya that