Question

Conpare 7/11 and 7/15 and Compare 6/11 and 6/13​

Answer 1

[Note :- I have divided the two compare into I and II . I = 6/11 and II = 6/13 ]

1. Given :-

$\frac{7}{11} \: and \: \frac{7}{15}$

To find ?

Compare them .

Explanation :-

First do the L.C.M of their denominators.

i.e ,

11 and 15 .

So, L.C.M = 165 .

Now , equalize the numerators =

$\frac{7×15}{11×15} = \frac{105}{165}$

and,

$\frac{7×11}{15×11} = \frac{77}{165}$

Now , as there denominators are equal we can compare them.

$So, \frac{105}{165}>\frac{77}{165}$

or ,

$\frac{7}{11}>\frac{7}{15}</p><p></p><p>$

2. Given :-

$\frac{6}{11} \: and \: \frac{6}{13}$

To find ?

Compare them .

Explanation :-

As we have done earlier , find the L.C.M of their denominators

i.e ,

11 and 13.

L.C.M = 143.

Now equalize the numerators .

$\frac{6×13}{11×13}=\frac{78}{143}$

and ,

$\frac{6×11}{13×11}=\frac{66}{143}$

$So, \frac{78}{143}>\frac{66}{143}$

or ,

$\frac{6}{11}>\frac{6}{13}$

___________

Hope it helps friend!

Sorry I have made the answer so long.