Question Details

Arrange the fractions 711, 59, 47, and 35 in ascending order.

Options

A

35, 47, 59, 711

B

59, 47, 35, 711

C

35, 59, 47, 711

D

47, 59, 711, 35

Show Answer

Correct Answer :

Option B

59, 47, 35, 711

Solution :

The correct answer is:

59, 47, 35, 711

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 711:

711 = 0.6363...

2. Convert 59:

59 = 0.5555...

3. Convert 47:

47 = 0.5714...

4. Convert 35:

35 = 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:

59 < 47 < 35 < 711

Therefore, the fractions arranged in ascending order are 59, 47, 35, 711.

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