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Arrange these fractions in ascending order 3/4, 1/6, 9/8, 1/13 10/15, 8/6, 9/4, 1/3 3/4, 8/6, 1/13, 10/9 1/6, 3/4, 10/13, 9/8 Arrange these fractions in descending order 7/8, 5/6, 2/3, 1/7 5/6, 1/7, 2/3, 7/8 5/6, 7/8, 2/3, 1/7 1/7, 2/3, 5/6, 7/8

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2 parts
28

(d)\text{(d)}

29

(a)\text{(a)}

Step-by-step solution

8 steps

Part 28· 4 steps

The given fractions are: 34,16,98,1013\frac{3}{4}, \frac{1}{6}, \frac{9}{8}, \frac{10}{13}
To arrange these fractions in ascending order (smallest to largest), we will convert them to decimals.

  1. Convert the fractions to decimals.

    34=0.75\frac{3}{4} = 0.75 16≈0.1667\frac{1}{6} \approx 0.1667 98=1.125\frac{9}{8} = 1.125 1013≈0.7692\frac{10}{13} \approx 0.7692

  2. Compare the decimal values and arrange them in ascending order.

    0.1667<0.75<0.7692<1.1250.1667 < 0.75 < 0.7692 < 1.125

  3. Write the original fractions in ascending order.

    16,34,1013,98\frac{1}{6}, \frac{3}{4}, \frac{10}{13}, \frac{9}{8}

  4. Choose the correct option from the given choices.

    This order matches option (d).

    The final answer is (d)\boxed{\text{(d)}}.

Part 29

(a)\text{(a)}

The question asks to arrange fractions in descending order. The fractions listed above the options are 57,21,68,37\frac{5}{7}, \frac{2}{1}, \frac{6}{8}, \frac{3}{7}. However, these fractions do not appear in any of the options. The options themselves contain the set of fractions 56,78,23,17\frac{5}{6}, \frac{7}{8}, \frac{2}{3}, \frac{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: 56,78,23,17\frac{5}{6}, \frac{7}{8}, \frac{2}{3}, \frac{1}{7}

  1. Convert the fractions to decimals.

    56≈0.8333\frac{5}{6} \approx 0.8333 78=0.875\frac{7}{8} = 0.875 23≈0.6667\frac{2}{3} \approx 0.6667 17≈0.1429\frac{1}{7} \approx 0.1429

  2. Compare the decimal values and arrange them in descending order.

    0.875>0.8333>0.6667>0.14290.875 > 0.8333 > 0.6667 > 0.1429

  3. Write the original fractions in descending order.

    78,56,23,17\frac{7}{8}, \frac{5}{6}, \frac{2}{3}, \frac{1}{7}

  4. Choose the correct option from the given choices.

    This order matches option (a).

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

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