Which is greater in the following? -3 5/7, 3 1/9.

Solution:

Given, the numbers are -3 5/7 and 3 1/9

We have to find a greater number.

-3 5/7 = -[3(7) + 5]/7 = -(21 + 5)/7 = -26/7

3 1/9 = [3(9) + 1]/9 = (27 + 1)/9 = 28/9

The rational numbers are -26/7 and 28/9

Taking LCM,

LCM of 7 and 9 = 7 × 9 = 63

Now, -26/7 = -26 × 9 / 7 × 9 = -234/63

28/9 = 28 × 7 / 9 × 7 = 196/63

Considering -234/63 and 196/63,

Since the denominators are same

196 > -234

So, 3 1/9 > -3 5/7

Therefore, the greater number is 3 1/9.

✦ Try This: Which is greater in the following? -2 5/6 and 2 3/4.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

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NCERT Exemplar Class 7 Maths Chapter 8 Problem 83(ii)

Which is greater in the following? -3 5/7, 3 1/9

Summary:

The greater number out of -3 5/7 and 3 1/9 is 3 1/9

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☛ Related Questions:

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