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Draw Line of 1 1/4, 2 5/8, 3 3/16, 3 7/16, 5 7/16

Mathematics

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Step-by-step solution

11 steps

The image shows a list of mixed numbers, likely representing measurements in inches, and a prompt "Draw Line of". It appears the task is to draw lines of the specified lengths. Since I cannot draw lines, I will convert each mixed number to an improper fraction and then to a decimal for clarity.

Here are the conversions for each number:

1) 214"2\frac{1}{4}"

  1. Convert the mixed number to an improper fraction.

    214=(2×4)+14=8+14=942\frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}

  2. Convert the improper fraction to a decimal.

    94=2.25\frac{9}{4} = 2.25

    The length is 2.25 inches.

    2) 258"2\frac{5}{8}"

  3. Convert the mixed number to an improper fraction.

    258=(2×8)+58=16+58=2182\frac{5}{8} = \frac{(2 \times 8) + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}

  4. Convert the improper fraction to a decimal.

    218=2.625\frac{21}{8} = 2.625

    The length is 2.625 inches.

    3) 3316"3\frac{3}{16}"

  5. Convert the mixed number to an improper fraction.

    3316=(3×16)+316=48+316=51163\frac{3}{16} = \frac{(3 \times 16) + 3}{16} = \frac{48 + 3}{16} = \frac{51}{16}

  6. Convert the improper fraction to a decimal.

    5116=3.1875\frac{51}{16} = 3.1875

    The length is 3.1875 inches.

    4) 3716"3\frac{7}{16}"

  7. Convert the mixed number to an improper fraction.

    3716=(3×16)+716=48+716=55163\frac{7}{16} = \frac{(3 \times 16) + 7}{16} = \frac{48 + 7}{16} = \frac{55}{16}

  8. Convert the improper fraction to a decimal.

    5516=3.4375\frac{55}{16} = 3.4375

    The length is 3.4375 inches.

    5) 5416"5\frac{4}{16}"

  9. Convert the mixed number to an improper fraction.

    5416=(5×16)+416=80+416=84165\frac{4}{16} = \frac{(5 \times 16) + 4}{16} = \frac{80 + 4}{16} = \frac{84}{16}

  10. Simplify the fraction.

    8416=214\frac{84}{16} = \frac{21}{4}

  11. Convert the improper fraction to a decimal.

    214=5.25\frac{21}{4} = 5.25

    The length is 5.25 inches.

    Here are the lengths in decimal form:

    1. 2.25 inches\boxed{2.25 \text{ inches}}
    2. 2.625 inches\boxed{2.625 \text{ inches}}
    3. 3.1875 inches\boxed{3.1875 \text{ inches}}
    4. 3.4375 inches\boxed{3.4375 \text{ inches}}
    5. 5.25 inches\boxed{5.25 \text{ inches}}
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