he mesured the widths of many stamps in his collection of world stamps the mesurements r 1 and 5 eighths 1 and 11 sixthteen 1 and 3 fourth and 1 and 1 half whats is the widest stamp

1 answer

To compare the widths of the stamps, we need to convert all the measurements to a common format, such as improper fractions or decimal form. Here are the measurements you provided:

  1. \(1 \frac{5}{8} = \frac{13}{8}\)
  2. \(1 \frac{11}{16} = \frac{27}{16}\)
  3. \(1 \frac{3}{4} = \frac{7}{4} = \frac{14}{8}\)
  4. \(1 \frac{1}{2} = \frac{3}{2} = \frac{12}{8}\)

Now let's compare the fractions:

  1. \( \frac{13}{8} \)
  2. \( \frac{27}{16} = \frac{27}{16} \) or \(1.6875\) (when converted to decimal)
  3. \( \frac{14}{8} = 1.75 \)
  4. \( \frac{12}{8} = 1.5 \)

To find a common denominator for comparison, we'll compare all fractions to a common denominator of 16:

  1. \( \frac{13}{8} = \frac{26}{16} \)
  2. \( \frac{27}{16} \)
  3. \( \frac{14}{8} = \frac{28}{16} \)
  4. \( \frac{12}{8} = \frac{24}{16} \)

Now the measurements in terms of sixteenths are:

  1. \( \frac{26}{16} \)
  2. \( \frac{27}{16} \)
  3. \( \frac{28}{16} \)
  4. \( \frac{24}{16} \)

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

So, the widest stamp is 1 and 3/4 inches.