Pregunta
(24) \( 6 \div \frac{9}{11}= \)
Ask by Blake Reed. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( \frac{22}{3} \) or \( 7 \frac{1}{3} \)
Solución
To solve \( 6 \div \frac{9}{11} \), follow these steps:
1. **Divide by a Fraction is the Same as Multiplying by its Reciprocal:**
\[
6 \div \frac{9}{11} = 6 \times \frac{11}{9}
\]
2. **Multiply the Numbers:**
\[
6 \times \frac{11}{9} = \frac{66}{9}
\]
3. **Simplify the Fraction:**
\[
\frac{66}{9} = \frac{22}{3}
\]
Alternatively, as a mixed number:
\[
\frac{22}{3} = 7 \frac{1}{3}
\]
**Final Answer:** \( \frac{22}{3} \) or \( 7 \frac{1}{3} \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Beyond the Answer
To solve \( 6 \div \frac{9}{11} \), you can simplify the division of fractions by multiplying by the reciprocal. So, you’d rewrite it as \( 6 \times \frac{11}{9} \). When you calculate that, \( 6 \) is equivalent to \( \frac{6}{1} \), resulting in \( \frac{6 \times 11}{1 \times 9} = \frac{66}{9} \). Simplifying that gives you \( 7 \frac{3}{9} \) or \( 7 \frac{1}{3} \), which is approximately \( 7.33 \). So, \( 6 \div \frac{9}{11} \) equals \( 7 \frac{1}{3} \) or approximately \( 7.33 \).
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