Pregunta
\( 15 \times \frac{4}{9} \quad \) (h) \( 15 \times \frac{5}{12} \)
Ask by Perkins Haynes. in the United States
Feb 01,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 15 \times \frac{4}{9} = \frac{20}{3} \approx 6.6667 \)
\( 15 \times \frac{5}{12} = \frac{25}{4} = 6.25 \)
Solución
Certainly! Let's evaluate both expressions step by step.
### (g) \( 15 \times \frac{4}{9} \)
1. **Multiplication**:
\[
15 \times \frac{4}{9} = \frac{15 \times 4}{9} = \frac{60}{9}
\]
2. **Simplify the Fraction**:
\[
\frac{60}{9} = \frac{20}{3} \quad \text{(by dividing numerator and denominator by 3)}
\]
3. **Decimal Form**:
\[
\frac{20}{3} \approx 6.\overline{6} \quad \text{(approximately 6.6667)}
\]
**Final Answer**:
\[
15 \times \frac{4}{9} = \frac{20}{3} \approx 6.6667
\]
---
### (h) \( 15 \times \frac{5}{12} \)
1. **Multiplication**:
\[
15 \times \frac{5}{12} = \frac{15 \times 5}{12} = \frac{75}{12}
\]
2. **Simplify the Fraction**:
\[
\frac{75}{12} = \frac{25}{4} \quad \text{(by dividing numerator and denominator by 3)}
\]
3. **Decimal Form**:
\[
\frac{25}{4} = 6.25
\]
**Final Answer**:
\[
15 \times \frac{5}{12} = \frac{25}{4} = 6.25
\]
---
**Summary**:
- \( 15 \times \frac{4}{9} = \frac{20}{3} \approx 6.6667 \)
- \( 15 \times \frac{5}{12} = \frac{25}{4} = 6.25 \)
If you have any further questions or need additional explanations, feel free to ask!
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve \( 15 \times \frac{4}{9} \), you can first multiply 15 by 4, which gives you 60. Then divide 60 by 9, resulting in \( \frac{60}{9} = \frac{20}{3} \) or approximately 6.67. For \( 15 \times \frac{5}{12} \), multiply 15 by 5 to get 75. Then divide by 12, giving you \( \frac{75}{12} = \frac{25}{4} \) or 6.25. So, the answers are \( \frac{20}{3} \) and \( \frac{25}{4} \).
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