To divide the fractions \( \frac{3}{5} \) by \( \frac{1}{3} \), you can follow these steps:
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Understand the Problem: You need to figure out how many \( \frac{1}{3} \) portions are in \( \frac{3}{5} \).
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Changing to Multiplication: Remember that dividing by a fraction is the same as multiplying by its reciprocal. So, \[ \frac{3}{5} \div \frac{1}{3} = \frac{3}{5} \times \frac{3}{1} = \frac{3 \times 3}{5 \times 1} = \frac{9}{5} \]
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Convert to Mixed Number: The fraction \( \frac{9}{5} \) can be converted to a mixed number: \[ \frac{9}{5} = 1 \frac{4}{5} \text{ (since 5 goes into 9 once, leaving a remainder of 4)} \]
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Final Statement: Therefore, \[ \frac{3}{5} \div \frac{1}{3} = 1 \frac{4}{5} \]
Now to fill in the blanks in your statements:
- The dividend is \( \frac{3}{5} \).
- The fraction of a group left over is \( 4 \) fifteenths out of \( 5 \) fifteenths.
- Finally, \( \frac{3}{5} \div \frac{1}{3} = 1 \frac{4}{5} \).
So the final answer is: \[ 3/5 \div 1/3 = 1 \frac{4}{5} \]