Pregunta
5) What is the quotient of \( 13 / 4 \) and \( 7 / 8 \) ? Answer in simplest form.
Ask by Bernard Klein. in the United States
Mar 19,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The quotient is \(\frac{26}{7}\).
Solución
1. Write the division of the fractions as a multiplication:
\[
\frac{13}{4} \div \frac{7}{8} = \frac{13}{4} \times \frac{8}{7}
\]
2. Multiply the numerators and the denominators:
\[
\frac{13 \times 8}{4 \times 7} = \frac{104}{28}
\]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is \(4\):
\[
\frac{104 \div 4}{28 \div 4} = \frac{26}{7}
\]
The quotient in simplest form is \(\frac{26}{7}\).
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Simplifique esta solución Bonus Knowledge
To find the quotient of \( \frac{13}{4} \) and \( \frac{7}{8} \), you can multiply \( \frac{13}{4} \) by the reciprocal of \( \frac{7}{8} \). So, \( \frac{13}{4} \div \frac{7}{8} = \frac{13}{4} \times \frac{8}{7} \). Now, multiply the numerators and the denominators: \[ \frac{13 \times 8}{4 \times 7} = \frac{104}{28} \] To simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 4: \[ \frac{104 \div 4}{28 \div 4} = \frac{26}{7} \] Thus, the quotient of \( \frac{13}{4} \) and \( \frac{7}{8} \) in simplest form is \( \frac{26}{7} \).
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