To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), we need to divide \( \frac{9}{10} \) by \( \frac{2}{3} \). Dividing by a fraction is the same as multiplying by its reciprocal.
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Write the expression: \[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
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Multiply the fractions: \[ \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
Now let's check the options provided:
- 3018: \( \frac{30}{18} \)
- 2720: \( \frac{27}{20} \)
- 1830: \( \frac{18}{30} \)
- 2027: \( \frac{20}{27} \)
The correct quotient is \( \frac{27}{20} \). Therefore, the answer is:
2720 \( \frac{27}{20} \)
1 answer