Eight slices and a pizza, one student eats 2.5 slices and another student eat 1 and 3/4 slices What fraction of the pizza is left

Answer 1

To find the fraction of the pizza that is left after two students have eaten, we first need to determine how many slices they have eaten in total.

The total number of slices eaten by the two students is:

1. The first student eats 2.5 slices.
2. The second student eats 1 and \( \frac{3}{4} \) slices, which can be converted to a decimal as \( 1.75 \) slices.

Now, we can add the slices eaten:

\[ 2.5 + 1.75 = 4.25 \text{ slices} \]

Next, we find out how many slices are left from the original 8 slices of pizza:

\[ 8 - 4.25 = 3.75 \text{ slices} \]

Now, to find the fraction of the pizza that is left, we compute the fraction of the remaining slices to the total slices:

\[ \frac{3.75}{8} \]

To convert \( 3.75 \) to a fraction:

\[ 3.75 = \frac{375}{100} = \frac{15}{4} \]

Now we write the fraction of the pizza left:

\[ \frac{3.75}{8} = \frac{\frac{15}{4}}{8} = \frac{15}{4} \times \frac{1}{8} = \frac{15}{32} \]

So, the fraction of the pizza that is left is:

\[ \frac{15}{32} \]