Question 30: The given fractions are: 3/5, 4/7, 8/9, 9/11 To arrange these fractions in ascending order (smallest to largest), we will convert them to decimals. Step 1: Convert the fractions to decimals. 3/5 = 0.6 4/7 ≈ 0.5714 8/9 ≈ 0.8889 9/11 ≈ 0.8182 Step 2: Compare the decimal values and arrange them in ascending order. 0.5714 < 0.6 < 0.8182 < 0.8889 Step 3: Write the original fractions in ascending order. 4/7, 3/5, 9/11, 8/9 Step 4: Choose the correct option from the given choices. This order matches option (a). The final answer is (a).

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September 7, 2026English

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Answer

\text{(a)}

Step-by-step solution

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Question 30:
The given fractions are: $\frac{3}{5}, \frac{4}{7}, \frac{8}{9}, \frac{9}{11}$
To arrange these fractions in ascending order (smallest to largest), we will convert them to decimals.

Convert the fractions to decimals.
$\frac{3}{5} = 0.6$ $\frac{4}{7} \approx 0.5714$ $\frac{8}{9} \approx 0.8889$ $\frac{9}{11} \approx 0.8182$
Compare the decimal values and arrange them in ascending order.
$0.5714 < 0.6 < 0.8182 < 0.8889$
Write the original fractions in ascending order.
$\frac{4}{7}, \frac{3}{5}, \frac{9}{11}, \frac{8}{9}$
Choose the correct option from the given choices.
This order matches option (a).

The final answer is $\text{(a)}$ .

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Step-by-step solution

Convert the fractions to decimals.

Compare the decimal values and arrange them in ascending order.

Write the original fractions in ascending order.

Choose the correct option from the given choices.

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