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Monique measured the widths of several stamps in her collection of stamps. the measurements are 4 5/8 in, 4 11/16 in, 1 3/4 in, and 1 1/2 in. (#/# = a fraction)

3 answers

To compare or work with the measurements Monique recorded, we might want to convert the mixed numbers into improper fractions or decimal values, or simply find a common width. Let's proceed with both options for clarity:

  1. Convert each measurement to improper fractions:

    • 4 5/8 in = \( 4 \times 8 + 5 = 32 + 5 = 37/8 \)
    • 4 11/16 in = \( 4 \times 16 + 11 = 64 + 11 = 75/16 \)
    • 1 3/4 in = \( 1 \times 4 + 3 = 4 + 3 = 7/4 \)
    • 1 1/2 in = \( 1 \times 2 + 1 = 2 + 1 = 3/2 \)

  2. Decimal conversions (if necessary):

    • 4 5/8 in = 4.625 in
    • 4 11/16 in = 4.6875 in
    • 1 3/4 in = 1.75 in
    • 1 1/2 in = 1.5 in

  3. List of measurements for easy reference:

    • 4 5/8 in = \( \frac{37}{8} \)
    • 4 11/16 in = \( \frac{75}{16} \)
    • 1 3/4 in = \( \frac{7}{4} \)
    • 1 1/2 in = \( \frac{3}{2} \)

With the measurements converted to improper fractions, Monique can easily compare or use them for further calculations like addition, subtraction, or finding an average. If you need any specific operations or comparisons done with these measurements, let me know!

what is the width of the widest stamp

To find the width of the widest stamp, we need to compare the measurements:

  1. Convert all measurements to a common denominator. We previously converted them to improper fractions:

    • 4 5/8 in = \( \frac{37}{8} \)
    • 4 11/16 in = \( \frac{75}{16} \)
    • 1 3/4 in = \( \frac{7}{4} = \frac{28}{16} \) (with a common denominator of 16)
    • 1 1/2 in = \( \frac{3}{2} = \frac{24}{16} \) (with a common denominator of 16)

Now we have the measurements as follows:

  • \( \frac{37}{8} \) = \( \frac{74}{16} \)
  • \( \frac{75}{16} \)
  • \( \frac{28}{16} \)
  • \( \frac{24}{16} \)
  1. Comparing the widths:
    • \( \frac{74}{16} \) (4 5/8 in)
    • \( \frac{75}{16} \) (4 11/16 in)
    • \( \frac{28}{16} \) (1 3/4 in)
    • \( \frac{24}{16} \) (1 1/2 in)

Now we can see that \( \frac{75}{16} \) is the largest fraction.

  1. Conclusion: The widest stamp measures 4 11/16 inches.