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 chocolatey. 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. You will receive a score on this problem after your teacher grades it.1 point for showing the equation you used to solve this problem.1 point for showing the common denominator that you found to solve this problem.1 point for writing the correct answer WITH label. 1 point for explaining/showing all of your work.4 points total for this problem

Answer 1

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

Step 1: Write the equation:

\[ \frac{3}{4} + \frac{2}{5} \]

Step 2: Find a common denominator:

The denominators are 4 and 5. The least common multiple (LCM) of 4 and 5 is 20. So, we will use 20 as the common denominator.

Step 3: Convert each fraction to have the common denominator:

• For \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

• For \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]

Step 4: Add the converted fractions:

Now that both fractions have the same denominator, we can add them: \[ \frac{15}{20} + \frac{8}{20} = \frac{15 + 8}{20} = \frac{23}{20} \]

Step 5: Write the final answer with a label:

The total amount of chocolate chips Samantha uses is \( \frac{23}{20} \) cups. This can also be expressed as 1 cup and \( \frac{3}{20} \) cup, or 1.15 cups when converted to a decimal.

Final Answer: \( \frac{23}{20} \) cups of chocolate chips.