Question

The greatest rational number among the following is: *

- 7 / 9

- 7 / 7

- 7

7 / - 3

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Answer 1

Step-by-step explanation:

option d is the answer.

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Answer 2

The greatest rational number among the four will be -7/9 (option 1).

Given,

The four rational numbers: -7/9, -7/7, -7, 7/-3

To find,

The greatest rational number among the four.

Solution,

The greatest rational number among the four will be -7/9.

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

According to the question,

We have 4 rational numbers: 7/9, -7/7, -7, 7/-3

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 9,7,1 and 3 is 63. (Note that we have found the LCM using the prime factorisation method.)

Now, dealing part by part:

1) -7/9

Dividing 63 by 9,

63÷9 = 7

So, we have to multiply both the numerator and denominator by 7,

-7×7/9×7 = -49/63

2) -7/7

Dividing 63 by 7,

63÷7 = 9

So, we have to multiply both the numerator and denominator by 9,

-7×9/7×9 = -63/63

3) -7

Dividing 63 by 1

63÷1 = 63

So, we have to multiply both the numerator and denominator by 63

-7×63/1×63 = -451/63

4) -7/3

Dividing 63 by 3,

63 ÷ 3 = 21

So, we have to multiply both the numerator and denominator by 21,

-7×21/3×21 = -147/63

Now, we have -49/63, -63/63, -451/63 and -147/63

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

Therefore, -49/63 or -7/9 is the greatest rational number.

Hence, the greatest rational number is -7/9.