Question

verify the commutative property of addition. 5/8 and 7/-12​

Answer 1

${\mathcal{\red{ANSWER}}}$

Commutative property of addition of rational numbers states that the sum of 2 rational numbers does not depend on the order in which they are added.

If a and b are 2 rational numbers, then a + b = b + a.

Now, the given rational numbers are $\tt{\dfrac{5}{8} \; and \; \dfrac{7}{-12}}$

$\tt{Now,\;\dfrac{5}{8} + \bigg(-\dfrac{7}{12}\bigg)=\dfrac{15-14}{24}=\dfrac{1}{24}}$

$\tt{Now,\;\bigg(-\dfrac{7}{12}\bigg)+\dfrac{5}{8}=\dfrac{-14+15}{24}=\dfrac{1}{24}}$

Hence, commutative property is verified.

Answer 2

Answer:

1/24

Step-by-step explanation:

= 5/8+(7/-12)

= LCM of 8 and 12 is 24 .

= 5×3/8×3 - 7×2/12×2

= 15/24. - 14/24

= 15-14/24

= 1/24