Question

among the following, the greatest rational number is
1)-10/11
2)-19/22
3)-22/33
4)-39/44​

Answer 1

Answer:

1 I think so

. bye. okkkk

Answer 2

The greatest rational number among the four will be -22/33 (option 3).

Given,

The four rational numbers: 1)-10/11 2)-19/22 3)-22/33 4)-39/44

To find,

The greatest rational number among the four.

Solution,

The greatest rational number among the four will be -22/33.

We can easily solve this problem by following the given steps.

According to the question,

We have 4 rational numbers: 1)-10/11 2)-19/22 3)-22/33 4)-39/44

Now, to find the greatest rational number, first, we will have to make their denominators same by taking their LCM and then multiplying the denominator with the required number.

The LCM of 11,22,33 and 44 is 132. (Note that we have found the LCM using the prime factorisation method.)

Now, dealing part by part:

1) -10/11

Dividing 132 by 11

132÷11 = 12

So, we have to multiply both the numerator and denominator by 12,

-10×12/11×12 = -120/132

2) -19/22

Dividing 132 by 22,

132÷22 = 6

So, we have to multiply both the numerator and denominator by 6,

-19×6/22×6 = -114/132

3) -22/33

Dividing 132 by 33,

132÷33 = 4

So, we have to multiply both the numerator and denominator by 4,

-22×4/33×4 = -88/132

4) -39/44

Dividing 132 by 44,

132÷44 = 3

So, we have to multiply both the numerator and denominator by 3,

-39×3/44×3 = -117/132

Now, we have -120/132, -114/132, -88/132 and -117/132.

So, the number with the smallest negative numerator will be greater.

Therefore, -88/132 or -22/33 is the greatest rational number.

Hence, the greatest rational number is -22/33.