Question

1. solve: $\frac{x}{4} = \frac{11}{7}$

Explanation:

Step1: Cross - multiply to solve for \(x\)

To solve the equation \(\frac{x}{4}=\frac{11}{7}\), 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 \(x\times7=4\times11\).

Step2: Simplify the right - hand side

Calculate the right - hand side of the equation \(7x = 4\times11\). Since \(4\times11 = 44\), the equation becomes \(7x=44\).

Step3: Solve for \(x\)

To isolate \(x\), we divide both sides of the equation \(7x = 44\) by 7. So, \(x=\frac{44}{7}\).

Answer:

\(x = \frac{44}{7}\)