Question

Compare -2/3 4/-7(<,>,=)​

Answer 1

Answer:

by cross multiplication

here is the step

• multiply -2*-7 and 3*4 (cross multiplication)
• now after multiplying we get 14 and 12 so
• -2/3 > 4/-7

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Answer 2

Answer:

-14/21 < -12/21

Step-by-step explanation:

To compare, we need to make the denominator equal

To make the denominator equal, we need to find the LCM i.e. Lowest Common Multiple of 3 and -7 and in finding LCM we should forget the negative sign of numbers like -7 = 7

LCM of 3 and 7 is 21

Now, we have to multiply the denominator by a number which gives the product 21.

As we know, if we multiply 7 by 3 and 3 by 7 we get 21

So, we will multiply 7 by 3 and 3 by 7 to get 21

But according to the laws, if we multiply the denominator by any number x then we need to multiply the numerator by x .

So,

-2 x 7 / 3 x 7 = -14/21

4 x 3 / -7 x 3 = 12/-21

We can transfer the negative sign from denominator to numerator and numerator to denominator too.

12/-21 = -12/21

Now, both denominators are same so we can easily compare the fraction numbers.

-14/21 < -12/21

-14/21 is smaller than -12/21 because the higher the negative number is smaller its value is like if two person A and B have debits 150000 and 50000 respectively, the person with smaller debt is better.

So,

-14/21 < -12/21

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