Monique measured the widths of several stamps in her collection of her world stamps. The measurements are 1 5/8 in., 1 11/16 in., 1 3/4 in., and 1 1/2 in. What is the width of the widest stamp?

Answer 1

To find the width of the widest stamp among the given measurements, we need to convert each measurement to an improper fraction or decimal for easy comparison.

Here are the measurements converted to improper fractions:

1. \( 1 \frac{5}{8} \) = \( \frac{8}{8} + \frac{5}{8} = \frac{13}{8} \)
2. \( 1 \frac{11}{16} \) = \( \frac{16}{16} + \frac{11}{16} = \frac{27}{16} \)
3. \( 1 \frac{3}{4} \) = \( \frac{4}{4} + \frac{3}{4} = \frac{7}{4} = \frac{28}{16} \) (by converting to a common denominator of 16)
4. \( 1 \frac{1}{2} \) = \( \frac{2}{2} + \frac{1}{2} = \frac{3}{2} = \frac{24}{16} \) (also converted to a common denominator of 16)

Now we have the following measurements:

• \( 1 \frac{5}{8} = \frac{13}{8} = \frac{26}{16} \)
• \( 1 \frac{11}{16} = \frac{27}{16} \)
• \( 1 \frac{3}{4} = \frac{28}{16} \)
• \( 1 \frac{1}{2} = \frac{24}{16} \)

Now comparing these fractions:

• \( \frac{26}{16} \)
• \( \frac{27}{16} \)
• \( \frac{28}{16} \)
• \( \frac{24}{16} \)

The largest fraction is \( \frac{28}{16} \), which corresponds to \( 1 \frac{3}{4} \).

Thus, the width of the widest stamp is 1 3/4 in.

Answer 2

are you sure thats right?

Answer 3

Let's double-check the calculations step by step to confirm the measurement of the widest stamp.

Here are the original measurements again:

1. \( 1 \frac{5}{8} \)
2. \( 1 \frac{11}{16} \)
3. \( 1 \frac{3}{4} \)
4. \( 1 \frac{1}{2} \)

To compare these measurements, we can convert them to decimal form instead for clarity:

1. \( 1 \frac{5}{8} = 1 + \frac{5}{8} = 1 + 0.625 = 1.625 \)
2. \( 1 \frac{11}{16} = 1 + \frac{11}{16} = 1 + 0.6875 = 1.6875 \)
3. \( 1 \frac{3}{4} = 1 + \frac{3}{4} = 1 + 0.75 = 1.75 \)
4. \( 1 \frac{1}{2} = 1 + \frac{1}{2} = 1 + 0.5 = 1.5 \)

Now we can compare these decimal values:

• \( 1.625 \) (for \( 1 \frac{5}{8} \))
• \( 1.6875 \) (for \( 1 \frac{11}{16} \))
• \( 1.75 \) (for \( 1 \frac{3}{4} \))
• \( 1.5 \) (for \( 1 \frac{1}{2} \))

The highest value is \( 1.75 \), which is indeed \( 1 \frac{3}{4} \).

So, confirmed, the width of the widest stamp is 1 3/4 in. Thank you for your patience!