Question

use the number line below to calculate $\frac{1}{2} \times \frac{4}{6}$ (1 point) $\bigcirc \frac{1}{12}$ $\bigcirc \frac{6}{12}$ $\bigcirc \frac{16}{12}$ $\bigcirc \frac{4}{12}$

Explanation:

Step1: Recall fraction multiplication rule

To multiply fractions, we use the rule \(\frac{a}{b} \times \frac{c}{d}=\frac{a\times c}{b\times d}\). Here, \(a = 1\), \(b = 2\), \(c = 4\), \(d = 6\).

Step2: Apply the multiplication rule

Substitute the values into the formula: \(\frac{1}{2}\times\frac{4}{6}=\frac{1\times4}{2\times6}\).

Step3: Simplify the numerator and denominator

Calculate the numerator: \(1\times4 = 4\). Calculate the denominator: \(2\times6=12\). So the result is \(\frac{4}{12}\).

Answer:

\(\frac{4}{12}\) (corresponding to the option with \(\frac{4}{12}\))