what is 3/4 = 15/__?

1 answer

To solve the equation \(\frac{3}{4} = \frac{15}{x}\), you can use cross-multiplication. Here's the step-by-step process:

1. Write the equation:
\[\frac{3}{4} = \frac{15}{x}\]

2. Cross-multiply to eliminate the fractions:
\[3 \cdot x = 4 \cdot 15\]

3. Simplify the right side:
\[3x = 60\]

4. Solve for \(x\) by dividing both sides by 3:
\[x = \frac{60}{3}\]
\[x = 20\]

So, \(x = 20\). The equation \(\frac{3}{4} = \frac{15}{20}\) is true.