Question

What is the least natural number which when subtracted from both the numerator and denominator of
the fraction 7/8 gives a ratio less than 17:22?​

Answer 1

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Let the whole number is X.

Now, according to question,

(6-X) / (7-X) < 16/21

21 *(6-X) < 16 *(7-X)

126 - 21X < 112 - 16X

126 - 112 < -16X + 21X

14 < 5X

5X > 14

X > 2.8

So, Least such whole number would be 3.

Answer 2

Answer:

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Explanation:

Let the whole number is X.

Now, according to question,

(6-X) / (7-X) < 16/21

21 *(6-X) < 16 *(7-X)

126 - 21X < 112 - 16X

126 - 112 < -16X + 21X

14 < 5X

5X > 14

X > 2.8

So, Least such whole number would be 3.