Pregunta
Find the quotient. \( 6 \div \frac{2}{3}=[?] \) Simplify your answer completely.
Ask by Lawson Frank. in the United States
Feb 07,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( 6 \div \frac{2}{3} = 9 \)
Solución
Calculate or simplify the expression \( 6 \div \frac{2}{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(6\div \frac{2}{3}\)
- step1: Multiply by the reciprocal:
\(6\times \frac{3}{2}\)
- step2: Reduce the numbers:
\(3\times 3\)
- step3: Multiply the numbers:
\(9\)
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
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Bonus Knowledge
To solve \( 6 \div \frac{2}{3} \), you can rewrite the division by a fraction as multiplication by its reciprocal. So, this becomes: \[ 6 \div \frac{2}{3} = 6 \times \frac{3}{2} \] Now, multiply: \[ 6 \times \frac{3}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 \] Thus, the quotient is \( 9 \).
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