Question

solve for x.
\frac{x}{10} = \frac{3}{6}
simplify your answer as much a

Explanation:

Step1: Cross - multiply the equation

To solve for \(x\) in the equation \(\frac{x}{10}=\frac{3}{6}\), we can use cross - multiplication. Cross - multiplication states that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\).
Applying this to our equation, we get \(x\times6=10\times3\).

Step2: Simplify the right - hand side and solve for \(x\)

First, calculate the right - hand side: \(10\times3 = 30\). So our equation becomes \(6x = 30\).
Then, divide both sides of the equation by 6 to isolate \(x\). We have \(x=\frac{30}{6}\).
Simplifying \(\frac{30}{6}\), we get \(x = 5\).

Answer:

\(x = 5\)