Question

Fill in the missing value in the table

1/2 3/6 9/18 ?/54

Answer 1

To fill in the missing value in the table, let's analyze the given fractions:

1. \( \frac{1}{2} \)
2. \( \frac{3}{6} \) (which simplifies to \( \frac{1}{2} \))
3. \( \frac{9}{18} \) (which also simplifies to \( \frac{1}{2} \))
4. \( \frac{?}{54} \)

From this pattern, we see that each of the first three fractions is equal to \( \frac{1}{2} \).

To find the missing value in \( \frac{?}{54} \) such that it also equals \( \frac{1}{2} \), we can set up the equation:

\[
\frac{?}{54} = \frac{1}{2}
\]

To find the numerator (?), we can cross-multiply:

\[
? \cdot 2 = 54 \cdot 1
\]
\[
? \cdot 2 = 54
\]
\[
? = \frac{54}{2}
\]
\[
? = 27
\]

So the missing value is \( 27 \).

The complete table is:

1. \( \frac{1}{2} \)
2. \( \frac{3}{6} \)
3. \( \frac{9}{18} \)
4. \( \frac{27}{54} \)

Thus, the answer is **27**.