these numbers in order from least to greatest. \begin{tabular}{l}$$ 8 \frac{9}{20} $$ \ Submit \ \hline$$ \frac{9}{25} $$ \ \hline$$ \frac{10}{40} $$ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

Sure! Let's arrange the following numbers from least to greatest:

1. $$ 8 \frac{9}{20} $$
2. $$ \frac{9}{25} $$
3. $$ \frac{10}{40} $$

### Step 1: Convert to Decimal Form

To easily compare these numbers, we'll convert them to decimal form.

1. **$$ 8 \frac{9}{20} $$**
   $$
   8 + \frac{9}{20} = 8 + 0.45 = 8.45
   $$

2. **$$ \frac{9}{25} $$**
   $$
   \frac{9}{25} = 0.36
   $$

3. **$$ \frac{10}{40} $$**
   $$
   \frac{10}{40} = 0.25
   $$
   
### Step 2: Arrange in Order

Now, let's list them from the smallest to the largest based on their decimal values:

1. $$ \frac{10}{40} = 0.25 $$
2. $$ \frac{9}{25} = 0.36 $$
3. $$ 8 \frac{9}{20} = 8.45 $$

### Final Order

$$
\frac{10}{40} \ < \ \frac{9}{25} \ < \ 8 \frac{9}{20}
$$

So, from least to greatest:

$$
\frac{10}{40}, \quad \frac{9}{25}, \quad 8 \frac{9}{20}
$$
From least to greatest, the numbers are $$ \frac{10}{40} $$, $$ \frac{9}{25} $$, and $$ 8 \frac{9}{20} $$.

these numbers in order from least to greatest.

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Solución

Step 1: Convert to Decimal Form

Step 2: Arrange in Order

Final Order

The Deep Dive

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