Samantha is baking cookies for a school fundraiser. She needs to mix different amounts of chocolate chips into her cookie dough. She first adds 3/4 cup of chocolate chips to the dough. Later, she decides to add an additional 2/5 cup of chocolate chips to make the cookies extra chocolate Lu. How many cups of chocolate chips does Samantha use in total for her cookie dough? This is a multiple point question. To receive all of your points you will have to show all of your work.

Answer 1

To find the total amount of chocolate chips Samantha uses, we need to add the two amounts together: \( \frac{3}{4} \) cup and \( \frac{2}{5} \) cup.

Step 1: Find a common denominator

The denominators we have are 4 and 5. The least common multiple of 4 and 5 is 20.

Step 2: Convert the fractions to have the common denominator

Now we need to convert each fraction to have a denominator of 20.

1. Convert \( \frac{3}{4} \):

\[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

2. Convert \( \frac{2}{5} \):

\[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]

Step 3: Add the fractions

Now that we have both fractions with a common denominator, we can add them:

\[ \frac{15}{20} + \frac{8}{20} = \frac{15 + 8}{20} = \frac{23}{20} \]

Step 4: Simplify the result if necessary

\( \frac{23}{20} \) is an improper fraction. We can convert it to a mixed number:

\[ \frac{23}{20} = 1 \frac{3}{20} \]

Final Answer

Samantha uses a total of \( \frac{23}{20} \) cups of chocolate chips, which is equal to \( 1 \frac{3}{20} \) cups.

So, the total amount of chocolate chips used is

\[ \boxed{\frac{23}{20}} \text{ or } \boxed{1 \frac{3}{20}} \text{ cups.} \]