Score: 1/5 Penalty: 1 off Completer 34\% Question Watch Video Show Examples Mixed Numbers: Camden has $$ 1 \frac{4}{5} $$ cups of yogurt to make smoothies. Each smoothie uses $$ \frac{1}{5} $$ 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 $$ \square $$ 2 5 5 Submit Answer

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Let's work through the problem step by step to find out how many smoothies Camden can make.

**Problem:**
Camden has $$ 1 \frac{4}{5} $$ cups of yogurt. Each smoothie uses $$ \frac{1}{5} $$ cup of yogurt. How many smoothies can Camden make with the yogurt?

**Step 1: Convert the Mixed Number to an Improper Fraction**
$$ 1 \frac{4}{5} = \frac{9}{5} $$

**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:
$$ \frac{9}{5} \div \frac{1}{5} $$

**Step 3: Multiply by the Reciprocal**
Dividing by a fraction is the same as multiplying by its reciprocal:
$$ \frac{9}{5} \times \frac{5}{1} = \frac{45}{5} = 9 $$

**Answer:**
Camden can make **9 smoothies** with $$ 1 \frac{4}{5} $$ 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 $$ 2 \frac{5}{5} $$. However, $$ \frac{5}{5} $$ simplifies to 1, so $$ 2 \frac{5}{5} = 3 $$, 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.
Camden can make 9 smoothies with $$ 1 \frac{4}{5} $$ cups of yogurt.

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