8/9 = ?/27

Answer 1

To solve the equation \(\frac{8}{9} = \frac{x}{27}\), we need to find the value of \(x\).

We can use the property of proportions, which states that for \(\frac{a}{b} = \frac{c}{d}\), the cross products are equal, i.e., \(a \cdot d = b \cdot c\).

In this case, \(a = 8\), \(b = 9\), \(c = x\), and \(d = 27\).

So, we set up the equation:
\[ 8 \cdot 27 = 9 \cdot x \]

Now, we solve for \(x\):

\[ 216 = 9x \]

Divide both sides by 9:

\[ x = \frac{216}{9} \]
\[ x = 24 \]

Therefore, \(\frac{8}{9} = \frac{24}{27}\).