Pregunta
Write 3.75 as a simplified mixed number.
Ask by Kirk Barrett. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\[ 3 \frac{3}{4} \]
Solución
To convert **3.75** into a simplified mixed number:
1. **Identify the whole number and the fractional part:**
- **Whole number:** 3
- **Fractional part:** 0.75
2. **Convert the fractional part to a fraction:**
- 0.75 is equivalent to \( \frac{75}{100} \).
3. **Simplify the fraction:**
- \( \frac{75}{100} \) can be reduced by dividing both the numerator and the denominator by 25:
- \( \frac{75 ÷ 25}{100 ÷ 25} = \frac{3}{4} \)
4. **Combine the whole number with the simplified fraction:**
- **Mixed number:** \( 3 \frac{3}{4} \)
**Final Answer:**
\[ 3 \frac{3}{4} \]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Bonus Knowledge
To convert the decimal 3.75 into a mixed number, start by recognizing that it consists of 3 whole parts. The decimal part, 0.75, can be converted to a fraction. Since 0.75 is equal to 75/100, you simplify that to 3/4 (by dividing both the numerator and denominator by 25). Therefore, the mixed number is 3 3/4. Now, wasn't that a piece of cake? Mixing numbers isn't so tough when you break it down step by step! Plus, you’ll impress your friends with your newfound skills.
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