Question

With of <=> will make 12/17_17/23 a true sentence...whats the answer?

Answer 1

the answer is ‹ as 17/23 would be greater than 12/17

Answer 2

To answer this question, Let's convert the fractions into Like Fractions,

Like fractions are nothing but, The fractions with same Denominator but with Equal or Different Numerators,

To convert 2 fractions into like fractions, First take the l.c.m of Denominators,
Here the l.c.m of denominators is l.c.m of 17,23,

L.c.m of 17,23 is 17*23 Since, They are primes, And the l.c.m is 391,

And by the way L.c.m means, Least Common Multiple,
Now, We got the l.c.m of denominators, Now multiple both numerator and denominator with appropriate value to make denominator as 391,

=> The fraction 12/17 will become, 276/391,
=> The fraction 17/23 will become 289/391,

Now, We also know that, If denominators and same, Then To decide which fraction is greater , Just compare numerators,

=> 276 < 289,
Now, According to the statement,

276/391 < 289/391,
=> 12/17 < 17/23,

Therefore the answer to your question is "<",
The shortest way to do this is,
Converting Fractions into Decimal form,

12/17 in decimal form is 0.70588235294,
17/23 in decimal form is 0.73913043478,

We can observe that 17/23 > 12/17,

So therefore the answer to your question is 12/17 < 17/23,

Hope you understand, Have a great day ,
Thanking you, Bunti 360 !