This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Question 28: The given fractions are: (3)/(4), (1)/(6), (9)/(8), (10)/(13) To arrange these fractions in ascending order (smallest to largest), we will convert them to decimals. Step 1: Convert the fractions to decimals. (3)/(4) = 0.75 (1)/(6) ≈ 0.1667 (9)/(8) = 1.125 (10)/(13) ≈ 0.7692 Step 2: Compare the decimal values and arrange them in ascending order. 0.1667 < 0.75 < 0.7692 < 1.125 Step 3: Write the original fractions in ascending order. (1)/(6), (3)/(4), (10)/(13), (9)/(8) Step 4: Choose the correct option from the given choices. This order matches option (d). The final answer is (d). --- Question 29: The question asks to arrange fractions in descending order. The fractions listed above the options are (5)/(7), (2)/(1), (6)/(8), (3)/(7). However, these fractions do not appear in any of the options. The options themselves contain the set of fractions (5)/(6), (7)/(8), (2)/(3), (1)/(7). We will assume the question intends for us to arrange this set of fractions in descending order, as this is a common pattern in such questions and leads to one of the options. The fractions to arrange in descending order are: (5)/(6), (7)/(8), (2)/(3), (1)/(7) Step 1: Convert the fractions to decimals. (5)/(6) ≈ 0.8333 (7)/(8) = 0.875 (2)/(3) ≈ 0.6667 (1)/(7) ≈ 0.1429 Step 2: Compare the decimal values and arrange them in descending order. 0.875 > 0.8333 > 0.6667 > 0.1429 Step 3: Write the original fractions in descending order. (7)/(8), (5)/(6), (2)/(3), (1)/(7) Step 4: Choose the correct option from the given choices. This order matches option (a). The final answer is (a). Last free one today — make it count tomorrow, or type /upgrade for unlimited.