Questions: Now, complete the sentence describing the comparison. 2/9 is □ less than 3/9. 2/9 is □ ? 1/3.

Transcript text: Now, complete the sentence describing the comparison. $\frac{2}{9}$ is $\square$ less than $\frac{3}{9}$. $\frac{2}{9}$ is $\square$ ? $\frac{1}{3}$.

Solution

Solution Steps

Step 1: Compare $\frac{2}{9}$ and $\frac{3}{9}$

To compare $\frac{2}{9}$ and $\frac{3}{9}$, we subtract $\frac{2}{9}$ from $\frac{3}{9}$:

\[ \frac{3}{9} - \frac{2}{9} = \frac{3 - 2}{9} = \frac{1}{9} \]

So, $\frac{2}{9}$ is $\frac{1}{9}$ less than $\frac{3}{9}$.

Step 2: Compare $\frac{2}{9}$ and $\frac{1}{3}$

Next, we need to compare $\frac{2}{9}$ and $\frac{1}{3}$. First, we convert $\frac{1}{3}$ to a fraction with a denominator of 9:

\[ \frac{1}{3} = \frac{1 \times 3}{3 \times 3} = \frac{3}{9} \]

Now, we compare $\frac{2}{9}$ and $\frac{3}{9}$:

\[ \frac{2}{9} < \frac{3}{9} \]

So, $\frac{2}{9}$ is less than $\frac{1}{3}$.

Final Answer

\[ \boxed{\frac{2}{9} \text{ is } \frac{1}{9} \text{ less than } \frac{3}{9}} \] \[ \boxed{\frac{2}{9} \text{ is less than } \frac{1}{3}} \]

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