Question

1. \\(\frac{5}{10} = \frac{}{6}\\)

Explanation:

Step1: Simplify the left fraction

Simplify $\frac{5}{10}$ by dividing numerator and denominator by 5.
$\frac{5\div5}{10\div5}=\frac{1}{2}$

Step2: Let the unknown numerator be \(x\)

We have $\frac{1}{2}=\frac{x}{6}$. Cross - multiply (multiply numerator of left fraction with denominator of right fraction and vice - versa).
$2\times x = 1\times6$

Step3: Solve for \(x\)

Divide both sides of the equation $2x = 6$ by 2.
$x=\frac{6}{2}=3$

Answer:

3