Question

Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberries to make 1 batch of muffins.

How many cups of blueberries does Yoshi need to make 2 1/2 batches?

Answer 1

To find out how many cups of blueberries Yoshi needs to make 2 1/2 batches of muffins, we can multiply the amount of blueberries needed for one batch by the number of batches.

1 batch requires \( 1 \frac{1}{4} \) cups of blueberries, which can be converted to an improper fraction:

\[
1 \frac{1}{4} = \frac{5}{4}
\]

Now, we need to multiply this by the number of batches, which is \( 2 \frac{1}{2} \). First, convert \( 2 \frac{1}{2} \) to an improper fraction:

\[
2 \frac{1}{2} = \frac{5}{2}
\]

Now we can multiply the two fractions:

\[
\frac{5}{4} \times \frac{5}{2} = \frac{5 \times 5}{4 \times 2} = \frac{25}{8}
\]

Next, we convert \( \frac{25}{8} \) into a mixed number. Dividing 25 by 8 gives 3 with a remainder of 1:

\[
25 \div 8 = 3 \quad \text{remainder} \quad 1
\]

Thus, we can write:

\[
\frac{25}{8} = 3 \frac{1}{8}
\]

Therefore, Yoshi needs \( 3 \frac{1}{8} \) cups of blueberries to make 2 1/2 batches of muffins.