Pregunta
Divide. Write your answer in simplest form. \( 8 \div \frac{7}{6} \)
Ask by Chen Hodges. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( \frac{48}{7} \) or \( 6\,\frac{6}{7} \)
Solución
To divide \( 8 \) by \( \frac{7}{6} \), follow these steps:
\[
8 \div \frac{7}{6} = 8 \times \frac{6}{7} = \frac{48}{7}
\]
So, the simplest form of \( 8 \div \frac{7}{6} \) is:
\[
\frac{48}{7}
\]
Alternatively, as a mixed number, it can be written as:
\[
6\,\frac{6}{7}
\]
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Extra Insights
To divide by a fraction, you multiply by its reciprocal. So, \( 8 \div \frac{7}{6} \) is the same as \( 8 \times \frac{6}{7} \). Now, convert 8 into a fraction: \( 8 = \frac{8}{1} \). Multiply: \[ \frac{8}{1} \times \frac{6}{7} = \frac{8 \times 6}{1 \times 7} = \frac{48}{7} \] This fraction is already in simplest form, so the answer is \( \frac{48}{7} \) or \( 6 \frac{6}{7} \) in mixed number form.
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