Question

5. Verify that a+b=b+a for rational numbers a =1/6 and b =2/3​

Answer 1

Answer:

Step-by-step explanation:

Let a=1/6, b=2/3 (Can also be written as 4/6)

Now, a+b =1/6 +4/6 = 5/6

and b+a = 4/6+ 1/6 = 5/6

Therefore a+b=b+a

Answer 2

Answer:

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Step-by-step explanation:

$\large \: a + b \\ \\\large \: \frac{1}{6} + \frac{2}{3} \\ \\\large \: taking \: \: lcm\\ \\\large \: \frac{1 \times 1}{6 \times 1} + \frac{2 \times 2}{3 \times 2} \\ \\\large \: \frac{1}{6} + \frac{4}{6} = \frac{5}{6} \\ \\\large \: \red{\implies \: a + b = \frac{5}{6} }$

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$\large \: b + a \\ \\\large \: \frac{2}{3} + \frac{1}{6} \\ \\\large \: taking \: \: lcm\\ \\\large \: \frac{2 \times 2}{3 \times 2} +\frac{1 \times 1}{6 \times 1} \\ \\\large \: \frac{4}{6} + \frac{1}{6} = \frac{5}{6} \\ \\\large \: \red{\implies \: b + a= \frac{5}{6} }$

Hence verified