Question

examine the fraction below. use multiplication determine an equivalent fraction.
\\(\frac{3}{7} = \frac{?}{14}\\)
\\(\frac{2}{6} = \frac{8}{?}\\)

Explanation:

Step1: Solve for the first fraction

To find the missing numerator in \(\frac{3}{7}=\frac{?}{14}\), we first determine the factor by which the denominator \(7\) is multiplied to get \(14\). Calculate \(14\div7 = 2\). Then multiply the numerator \(3\) by this factor: \(3\times2 = 6\). So the first missing number is \(6\).

Step2: Solve for the second fraction

For \(\frac{2}{6}=\frac{8}{?}\), find the factor by which the numerator \(2\) is multiplied to get \(8\). Calculate \(8\div2 = 4\). Then multiply the denominator \(6\) by this factor: \(6\times4 = 24\). So the second missing number is \(24\).

Answer:

For \(\frac{3}{7}=\frac{?}{14}\), the answer is \(6\); for \(\frac{2}{6}=\frac{8}{?}\), the answer is \(24\).