Pregunta
d. \( \frac{5}{4} \times \frac{9}{8}=\quad \) e. \( \frac{6}{5} \times \frac{9}{8}= \)
Ask by Ward Vaughn. in South Africa
Mar 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
d. \( \frac{45}{32} \)
e. \( \frac{27}{20} \)
Solución
**d.** Compute
\[
\frac{5}{4} \times \frac{9}{8}
\]
1. Multiply the numerators:
\[
5 \times 9 = 45
\]
2. Multiply the denominators:
\[
4 \times 8 = 32
\]
3. The product is:
\[
\frac{45}{32}
\]
---
**e.** Compute
\[
\frac{6}{5} \times \frac{9}{8}
\]
1. Multiply the numerators:
\[
6 \times 9 = 54
\]
2. Multiply the denominators:
\[
5 \times 8 = 40
\]
3. The product is:
\[
\frac{54}{40}
\]
4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor \(2\):
\[
\frac{54 \div 2}{40 \div 2} = \frac{27}{20}
\]
---
Final answers:
\[
\text{d. } \frac{45}{32} \quad \text{and} \quad \text{e. } \frac{27}{20}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Extra Insights
To solve \( \frac{5}{4} \times \frac{9}{8} \), multiply the numerators and the denominators: \( (5 \times 9) / (4 \times 8) = 45 / 32 \). This fraction is already in its simplest form. For \( \frac{6}{5} \times \frac{9}{8} \), you again multiply the top and bottom: \( (6 \times 9) / (5 \times 8) = 54 / 40 \). Simplifying this gives \( 27 / 20 \), which is also in its simplest form.

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