If you mix the condensed milk and lime juice together, how many cups will there be in all?

Tangy key lime pie
INGREDIENTS:
1 cup sugar
2
7
8
cups condensed milk
1 cup butter
3
4
cup lime juice
1
1
3
teaspoons lime peel
2 egg yolks
Write your answer as a fraction or as a whole or mixed number.
cups

1 answer

To find the total amount of condensed milk and lime juice in cups, we need to add the two measurements:

  • Condensed milk: \( \frac{7}{8} \) cup
  • Lime juice: \( \frac{3}{4} \) cup

To add these fractions, we first find a common denominator. The least common multiple of 8 and 4 is 8.

Now, we convert \( \frac{3}{4} \) to eighths:

\[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \]

Now we can add the two fractions:

\[ \frac{7}{8} + \frac{6}{8} = \frac{7 + 6}{8} = \frac{13}{8} \]

This fraction \( \frac{13}{8} \) can also be expressed as a mixed number:

\[ \frac{13}{8} = 1 \frac{5}{8} \]

Thus, the total amount when you mix the condensed milk and lime juice together is:

\[ \boxed{\frac{13}{8}} \text{ cups} \text{ or } 1 \frac{5}{8} \text{ cups} \]