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Write the following fractions in ascendi...

Write the following fractions in ascending order:
` 2/(2), 2/(4), 2/(8)`

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The correct Answer is:
To write the fractions \( \frac{2}{2} \), \( \frac{2}{4} \), and \( \frac{2}{8} \) in ascending order, we can follow these steps: ### Step 1: Identify the fractions We have the following fractions: - \( \frac{2}{2} \) - \( \frac{2}{4} \) - \( \frac{2}{8} \) ### Step 2: Find a common denominator To compare these fractions easily, we need to find a common denominator. The denominators are 2, 4, and 8. The least common multiple (LCM) of these numbers is 8. ### Step 3: Convert each fraction to have the common denominator Now we will convert each fraction to have a denominator of 8: 1. For \( \frac{2}{2} \): \[ \frac{2}{2} = \frac{2 \times 4}{2 \times 4} = \frac{8}{8} \] 2. For \( \frac{2}{4} \): \[ \frac{2}{4} = \frac{2 \times 2}{4 \times 2} = \frac{4}{8} \] 3. For \( \frac{2}{8} \): \[ \frac{2}{8} = \frac{2}{8} \quad \text{(no change needed)} \] Now we have the fractions: - \( \frac{8}{8} \) - \( \frac{4}{8} \) - \( \frac{2}{8} \) ### Step 4: Compare the fractions Now we can compare the fractions: - \( \frac{2}{8} \) - \( \frac{4}{8} \) - \( \frac{8}{8} \) ### Step 5: Write in ascending order The fractions in ascending order are: \[ \frac{2}{8}, \frac{4}{8}, \frac{8}{8} \] ### Step 6: Write the original fractions Now we convert them back to the original fractions: - \( \frac{2}{8} \) corresponds to \( \frac{2}{8} \) - \( \frac{4}{8} \) corresponds to \( \frac{2}{4} \) - \( \frac{8}{8} \) corresponds to \( \frac{2}{2} \) Thus, the final answer in ascending order is: \[ \frac{2}{8}, \frac{2}{4}, \frac{2}{2} \] ---
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