Question

verify commutative property of addition for the following pairs of rational number 9/11 and 2/13​

Answer 1

9/11 and 2/13

Adding both the numbers,

=9/11+2/13

Taking L.C.M. we get,

=(117+22)/143

We get,

=139/143

And 2/13+9/11

Again taking L.C.M. we get,

=(22+117)/143

We get,

=139/143

Therefore,

9/11+2/13=2/13+9/11.

Answer 2

Answer:

Commutative property* of addition for \frac{9}{11}

11

9

and \frac{2}{13}

13

2

.

*we have to verify that \frac{9}{11}

11

9

+ \frac{2}{13}

13

2

=

\frac{9}{11}

11

9

+ \frac{2}{13}

13

2

= \frac{2}{13}

13

2

+ \frac{9}{11}

11

9

.

LHS = \frac{9}{11}

11

9

+ \frac{2}{13}

13

2

= \frac{117+22}{143}

143

117+22

= \frac{139}{143}

143

139

RHS = \frac{2}{13}

13

2

+ \frac{9}{11}

11

9

= \frac{22+117}{143}

143

22+117

= \frac{139}{143}

143

139

= LHS

HENCE, VERIFIED.

Step-by-step explanation:

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