Question

What number can replace X in this equation to make two fractions equivalent X/9 equals 9/27

Answer 1

To determine what number can replace \( X \) in the equation \(\frac{X}{9} = \frac{9}{27}\), we can start by simplifying the right side of the equation.

The fraction \(\frac{9}{27}\) can be simplified:

\[
\frac{9}{27} = \frac{1}{3}
\]

Now, we set up the equation:

\[
\frac{X}{9} = \frac{1}{3}
\]

Next, we can solve for \( X \) by cross-multiplying:

\[
X \cdot 3 = 1 \cdot 9
\]

This simplifies to:

\[
3X = 9
\]

Now, divide both sides by 3:

\[
X = \frac{9}{3} = 3
\]

So, the value of \( X \) that makes the two fractions equivalent is

\[
\boxed{3}
\]