Question

Fill in the missing value in the table

1/5 2/10 4/?

Answer 1

To find the missing value in the table, we can analyze the fractions provided.

The fractions given are:
1. \( \frac{1}{5} \)
2. \( \frac{2}{10} \)
3. \( \frac{4}{?} \)

Looking closely at the second fraction, we can simplify it:

\[
\frac{2}{10} = \frac{1}{5}
\]

Now let's establish a pattern. The numerator in the third fraction is \( 4 \). If we follow the pattern where the numerator doubles, we can see that:

1. The numerator \( 1 \) corresponds to \( 5 \) in the denominator.
2. The numerator \( 2 \) corresponds to \( 10 \) (which is \( 2 \times 5 \)).
3. The numerator \( 4 \) should follow the same logic.

If we consider the fraction with a denominator proportional to the previous fractions based on their numerators:

For \( \frac{4}{x} \), if we double the numerator \( 4 \) (just as we did from \( 1 \) to \( 2 \)), we can double the denominator as follows:

So, the next term's denominator could logically be \( 20 \) (since \( 10 \times 2 = 20 \)).

Thus,

\[
4 = 20
\]

Hence, the missing value is:

\[
? = 20
\]

So the complete sequence looks like:
1. \( \frac{1}{5} \)
2. \( \frac{2}{10} \)
3. \( \frac{4}{20} \)

The final answer is \( 20 \).