Bot GPT 4-o mini To divide \( \frac{3}{4} \) by \( 3 \frac{1}{3} \), we first convert the mixed number \( 3 \frac{1}{3} \) into an improper fraction.
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Convert \( 3 \frac{1}{3} \) to an improper fraction: \[ 3 \frac{1}{3} = 3 \times 3 + 1 = 9 + 1 = 10 \] So, \[ 3 \frac{1}{3} = \frac{10}{3} \]
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Now, perform the division: \[ \frac{3}{4} \div \frac{10}{3} \] Dividing by a fraction is the same as multiplying by its reciprocal: \[ = \frac{3}{4} \times \frac{3}{10} \]
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Multiply the fractions: \[ = \frac{3 \times 3}{4 \times 10} = \frac{9}{40} \]
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The fraction \( \frac{9}{40} \) is already in simplest form.
Therefore, the result of \( \frac{3}{4} \div 3 \frac{1}{3} \) is \( \frac{9}{40} \).
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