Question

Sam uses 11/4 ounces of ham on each sandwich. If he makes 4 1/2 sandwiches, how much ham will he use?
5
45/8
53/4
55/8

Answer 1

To find out how much ham Sam will use for 4 1/2 sandwiches, we can multiply the amount of ham per sandwich (11/4 ounces) by the number of sandwiches (4 1/2).

First, we convert 4 1/2 into an improper fraction:

\[
4 \frac{1}{2} = \frac{9}{2}
\]

Next, we multiply the amount of ham per sandwich by the total number of sandwiches:

\[
\text{Total ham} = \frac{11}{4} \times \frac{9}{2}
\]

To multiply the fractions:

\[
\frac{11 \times 9}{4 \times 2} = \frac{99}{8}
\]

Now we convert \(\frac{99}{8}\) into a mixed number:

To find how many whole ounces are in \(\frac{99}{8}\):

1. Divide 99 by 8:
- 99 divided by 8 is 12 with a remainder of 3.

So, we can write:

\[
\frac{99}{8} = 12 \frac{3}{8}
\]

This means Sam uses \( \frac{99}{8} \) ounces of ham, which is equal to \( 12 \frac{3}{8} \) ounces.

Now, looking at the options given:
- 5
- \( \frac{45}{8} \)
- \( \frac{53}{4} \)
- \( \frac{55}{8} \)

None of these options are correct based on the calculation. The correct answer, in improper fraction form, is \( \frac{99}{8} \).

If we look at the options offered, the answer \( \frac{55}{8} \) might have been misinterpreted, but based on our calculations, the confirmed amount of ham used by Sam is \( \frac{99}{8} \) ounces.