Question

Find the missing value in the equivalent fraction:

4/12=?/3

Answer 1

To solve the equation \( \frac{4}{12} = \frac{x}{3} \), we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction and set the two products equal to each other:

\[
4 \cdot 3 = 12 \cdot x
\]

Calculating the left side:

\[
12 = 12x
\]

Now, to solve for \( x \), divide both sides of the equation by 12:

\[
x = \frac{12}{12} = 1
\]

So, the missing value is:

\[
\boxed{1}
\]

To verify, we can check if \( \frac{4}{12} \) simplifies to \( \frac{1}{3} \):

\[
\frac{4 \div 4}{12 \div 4} = \frac{1}{3},
\]

which confirms our answer is correct.