Question

compare \\(\frac{2}{3}\\) and \\(\frac{5}{6}\\). first, write a fraction equivalent to \\(\frac{2}{3}\\) with a denominator of 6. \\(\frac{2}{3} = \frac{?}{6}\\)

Explanation:

Step1: Find the multiplier for the denominator.

To change the denominator from 3 to 6, we calculate \( \frac{6}{3}=2 \). So we multiply the denominator by 2.

Step2: Multiply the numerator by the same multiplier.

Since we multiply the denominator by 2, we also multiply the numerator (2) by 2. So \( 2\times2 = 4 \). Thus, \( \frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6} \).

Answer:

4