Question

If the numerator of a fraction is increased by 0% and the denominator is increased by 40%, then the resultant fraction is \(\frac{{16}}{{63}}\). The original fraction is:
1. \(\frac{{4}}{{9}}\)
2. \(\frac{{16}}{{45}}\)
3. \(\frac{{5}}{{9}}\)
4. \(\frac{{2}}{{11}}\)

Answer 1

Correct Answer - Option 2 : \(\frac{{16}}{{45}}\)

Given:

Numerator is increased by 0%

Denominator is increased by 40%

Calculation:

Let numerator be x and denominator be y

According to the question,

100x/140y = 16/63

⇒ 5x/7y = 16/63

⇒ 45x = 16y

∴ \(\frac{{\rm{x}}}{{\rm{y}}} = \frac{{16}}{{45}}\)