Katelyn bought 3 packets of cookies. Each packet had 2/5 kilogram of cookies. How many kilograms of cookies were in the packets?
Understand the Problem
The question is asking how many kilograms of cookies Katelyn bought in total, given that each of the 3 packets contains 2/5 kilogram of cookies. To solve this, we will multiply the number of packets (3) by the weight of each packet (2/5).
Answer
Katelyn bought $\frac{6}{5}$ kilograms of cookies, or \(1 \frac{1}{5}\) kilograms.
Answer for screen readers
Katelyn bought a total of $\frac{6}{5}$ kilograms, or (1 \frac{1}{5}) kilograms, of cookies.
Steps to Solve
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Identify the total number of packets Katelyn bought a total of 3 packets of cookies.
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Determine the weight of a single packet Each packet contains $\frac{2}{5}$ kilogram of cookies.
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Calculate the total weight To find the total weight of cookies, multiply the number of packets by the weight of each packet:
$$ \text{Total weight} = 3 \times \frac{2}{5} $$
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Perform the multiplication Multiply $3$ by the fraction $\frac{2}{5}$: $$ \text{Total weight} = \frac{3 \times 2}{5} = \frac{6}{5} $$
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Convert to mixed number (if needed) The final step is to convert $\frac{6}{5}$ into a mixed number:
$$ \frac{6}{5} = 1 \frac{1}{5} $$
Katelyn bought a total of $\frac{6}{5}$ kilograms, or (1 \frac{1}{5}) kilograms, of cookies.
More Information
Katelyn's total weight of cookies shows how multiplication of fractions can result in improper fractions or mixed numbers. Understanding this can help in similar future calculations involving weights and measurements.
Tips
- Forgetting to multiply properly: Ensure to multiply both the whole number and numerator of the fraction when calculating.
- Not converting improper fractions: Be attentive to convert improper fractions into mixed numbers if required by context.
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