Question

Verify associativity of rational numbers for 1/2,2/3,5/6​

Answer 1

Answer:

According to associative property of rational numbers,

a + (b + c) = (a + b) + c,

where a, b and c are rational numbers.

$\dfrac{1}{2} + ( \ \dfrac{2}{3} + \dfrac{5}{6} \ )$

$= \dfrac{1}{2} + ( \ \dfrac{4}{6} + \dfrac{5}{6} \ )$

$= \dfrac{1}{2} + \dfrac{9}{6}$

$= \dfrac{3}{6} + \dfrac{9}{6}$

$= \dfrac{12}{6}$

$= 2$

$( \ \dfrac{1}{2} + \dfrac{2}{3} \ ) + \dfrac{5}{6}$

$= ( \ \dfrac{3}{6} + \dfrac{4}{6} \ ) + \dfrac{5}{6}$

$= \dfrac{7}{6} + \dfrac{5}{6}$

$= \dfrac{12}{6}$

$=2$

Since we get the same result, associativity of rational numbers for 1/2, 2/3, 5/6 is verified.

Answer 2

Answer:ffy

Step-by-step explanation:

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