Question

Fill in the missing value in the table

1/5 2/10 4/20 8/?

Answer 1

To find the missing value in the sequence \(1/5, 2/10, 4/20, 8/?\), let's first observe the pattern in the numerators and denominators.

The numerators are:
- 1, 2, 4, 8

The denominators are:
- 5, 10, 20, ?

From this, we can see that the numerators are multiplying by 2:
- 1 x 2 = 2
- 2 x 2 = 4
- 4 x 2 = 8

So, the next numerator should be:
- 8 x 2 = 16

Now, let's look at the denominators:
- The denominators are increasing as follows:
- 5 x 2 = 10
- 10 x 2 = 20

Following that pattern, the next denominator should be:
- 20 x 2 = 40

Thus, the missing value in the table, corresponding to 8 in the numerator, should be 40 in the denominator.

Therefore, the completed fraction is:
\[
8/40
\]

So, the answer is \( 40 \).