First, rewrite $$ \frac{2}{9} $$ and $$ \frac{1}{5} $$ so that they have a common denominator. Then, use $$ $$ to order $$ \frac{2}{9} $$ and $$ \frac{1}{5} $$. $$ \frac{2}{9}=\frac{\square}{\square} $$

Question

First, rewrite $$ \frac{2}{9} $$ and $$ \frac{1}{5} $$ so that they have a common denominator. Then, use $$ < $$, $$ = $$, or $$ > $$ to order $$ \frac{2}{9} $$ and $$ \frac{1}{5} $$. $$ \frac{2}{9}=\frac{\square}{\square} $$

UpStudy AI · Accepted Answer

To find a common denominator for $$ \frac{2}{9} $$ and $$ \frac{1}{5} $$, we first need to determine the least common multiple (LCM) of the denominators 9 and 5.

1. The denominators are 9 and 5.
2. The LCM of 9 and 5 is $$ 9 \times 5 = 45 $$ (since they have no common factors).

Now, we will rewrite both fractions with the common denominator of 45.

For $$ \frac{2}{9} $$:
$$
\frac{2}{9} = \frac{2 \times 5}{9 \times 5} = \frac{10}{45}
$$

For $$ \frac{1}{5} $$:
$$
\frac{1}{5} = \frac{1 \times 9}{5 \times 9} = \frac{9}{45}
$$

Now we can compare $$ \frac{10}{45} $$ and $$ \frac{9}{45} $$:
$$
\frac{10}{45} > \frac{9}{45}
$$

Thus, we can conclude:
$$
\frac{2}{9} = \frac{10}{45} \quad \text{and} \quad \frac{1}{5} = \frac{9}{45}
$$

So, the final answer is:
$$
\frac{2}{9} = \frac{10}{45}
$$

And the order is:
$$
\frac{2}{9} > \frac{1}{5}
$$
$$ \frac{2}{9} = \frac{10}{45} \quad \text{and} \quad \frac{1}{5} = \frac{9}{45} $$ $$ \frac{2}{9} > \frac{1}{5} $$

First, rewrite and so that they have a common denominator.
Then, use , , or to order and .

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