Question

Marta used 11/4 cups of milk and 3/2 cups of cheese in a recipe. How many cups of cheese and milk did Marta use?
Responses

Answer 1

To find the total amount of milk and cheese that Marta used, we simply need to add the two fractions together.

Marta used:
- Milk: \( \frac{11}{4} \) cups
- Cheese: \( \frac{3}{2} \) cups

First, we need to convert \( \frac{3}{2} \) into a fraction with a denominator of 4 so that we can easily add the two fractions together.

To do this, we multiply the numerator and the denominator of \( \frac{3}{2} \) by 2:

\[
\frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}
\]

Now we can add the two fractions:

\[
\frac{11}{4} + \frac{6}{4} = \frac{11 + 6}{4} = \frac{17}{4}
\]

So, Marta used a total of \( \frac{17}{4} \) cups of milk and cheese.

To express this as a mixed number, we can divide 17 by 4:

\[
17 \div 4 = 4 \quad \text{(with a remainder of 1)}
\]

So, \( \frac{17}{4} = 4 \frac{1}{4} \).

Thus, Marta used a total of **4¼ cups** (or \( \frac{17}{4} \) cups) of milk and cheese combined.