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Mixed Numbers:
Camden has cups of yogurt to make smoothies. Each smoothie uses cup of yogurt. How many smoothies can Camden make with the yogurt?
vide
dNumbers
raction Word
Answer Attempt 2 out of a
raction Word
Answer type: Mixed number

2
5
5
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Ask by Joseph Lynch. in the United States
Jan 04,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Camden can make 9 smoothies with cups of yogurt.

Solution

Let’s work through the problem step by step to find out how many smoothies Camden can make.
Problem:
Camden has cups of yogurt. Each smoothie uses cup of yogurt. How many smoothies can Camden make with the yogurt?
Step 1: Convert the Mixed Number to an Improper Fraction
Step 2: Divide the Total Yogurt by the Amount Used per Smoothie
To find out how many smoothies Camden can make, divide the total amount of yogurt by the amount used per smoothie:
Step 3: Multiply by the Reciprocal
Dividing by a fraction is the same as multiplying by its reciprocal:
Answer:
Camden can make 9 smoothies with cups of yogurt.
Common Mistake to Avoid:
It looks like there might have been an attempt to express the answer as a mixed number like . However, simplifies to 1, so , which is not the correct number of smoothies in this case.
Key Takeaway:
Always ensure you’re correctly dividing the total amount by the amount per unit. Converting mixed numbers to improper fractions can simplify the division process.

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

To find out how many smoothies Camden can make, you can first convert the mixed number to an improper fraction. This means you take the whole number (1), multiply it by the denominator (5), and then add the numerator (4). So, , giving you cups of yogurt. Now, to find the number of smoothies, divide by , which equals 9! So, Camden can make 9 smoothies!
Many people forget the step of converting mixed numbers to improper fractions, which is a common mistake. To avoid this, always double-check your conversions. Another helpful tip is to visualize the scenario: if you can picture Camden pouring yogurt into cups, it can make the problem more tangible and easier to solve!

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