Question

384/640,385/440, 204/225, 182/208, 304/380,750/1875,2688/3456???

Answer 1

0.6 , 0.875, 0.91, 0.875, 0.8, 0.4, 0.78

Answer 2

To find the pattern in the given sequence of fractions, let's examine the numerator and denominator of each fraction:

Numerator Denominator

384 640 385 440 204 225 182 208 304 380 750 1875 2688 3456

At first glance, it's not immediately apparent what the pattern is. However, if we look closely, we can observe the following relationships:

1. The denominator of each fraction is gradually increasing by a constant value. In this case, the common difference is 160 (440 - 640 = -200, 225 - 440 = -215, 208 - 225 = -17, and so on).

2. The numerator also seems to follow a pattern. If we look at the numerators, we can notice that each numerator is one less than its corresponding denominator, except for the last fraction (750/1875).

Based on this pattern, we can find the missing fraction in the sequence:

The next denominator will be 3456 + 160 = 3616. And the numerator will be 3616 - 1 = 3615.

Therefore, the missing fraction is 3615/3616.