Question

first, write a fraction equivalent to $\frac{2}{3}$ with a denominator of 6. $\frac{2}{3} = \frac{4}{}$, less than, equal to, greater than now, a sentence describing the comparison. $\frac{4}{6}$ is? $\frac{5}{6}$. $\frac{2}{3}$ is? $\frac{5}{6}$.

Explanation:

Step1: Find equivalent fraction

To find an equivalent fraction of $\frac{2}{3}$ with denominator 6, we multiply numerator and denominator by 2. So $\frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6}$.

Step2: Compare $\frac{4}{6}$ and $\frac{5}{6}$

Since the denominators are the same, we compare the numerators. 4 < 5, so $\frac{4}{6}$ is less than $\frac{5}{6}$.

Step3: Compare $\frac{2}{3}$ (which is $\frac{4}{6}$) and $\frac{5}{6}$

As we found $\frac{2}{3}=\frac{4}{6}$ and $\frac{4}{6}<\frac{5}{6}$, so $\frac{2}{3}$ is less than $\frac{5}{6}$.

Answer:

Equivalent fraction: $\frac{4}{6}$; $\frac{4}{6}$ is less than $\frac{5}{6}$; $\frac{2}{3}$ is less than $\frac{5}{6}$