Arrange the fractions , , , and in ascending order.
Correct Answer :
, , ,
Solution :
The correct answer is:
, , ,
To arrange fractions in ascending order (from smallest to largest), we can convert each fraction into its decimal form by dividing the numerator by the denominator.
Step 1: Convert each fraction to a decimal
1. Convert :
= 0.6363...
2. Convert :
= 0.5555...
3. Convert :
= 0.5714...
4. Convert :
= 0.6000
Step 2: Compare the decimal values
Comparing the decimal equivalents from smallest to largest:
0.5555... < 0.5714... < 0.6000 < 0.6363...
Step 3: Write the fractions in ascending order
Replacing the decimals with their corresponding fractions gives:
< < <
Therefore, the fractions arranged in ascending order are , , , .
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