Pregunta
Write 1.8 as a simplified mixed number.
Ask by Fernandez Sullivan. in the United States
Jan 27,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\(1 \frac{4}{5}\)
Solución
To convert the decimal **1.8** into a simplified mixed number, follow these steps:
1. **Separate the whole number and the decimal part:**
- **Whole number:** 1
- **Decimal part:** 0.8
2. **Convert the decimal to a fraction:**
- 0.8 = \(\frac{8}{10}\)
3. **Simplify the fraction:**
- \(\frac{8}{10}\) can be simplified by dividing both the numerator and the denominator by 2:
- \(\frac{8 ÷ 2}{10 ÷ 2} = \frac{4}{5}\)
4. **Combine the whole number with the simplified fraction:**
- \(1 \frac{4}{5}\)
**Final Answer:**
\[
1 \frac{4}{5}
\]
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Beyond the Answer
To convert 1.8 into a mixed number, first separate the whole number and the decimal. The whole number is 1. The decimal part, 0.8, can be converted to a fraction. Since 0.8 is equivalent to 8/10, which simplifies to 4/5, you can now combine them. So, 1.8 as a mixed number is 1 4/5! To make this conversion easier, remember that fractions are all about finding common denominators and simplification. When dealing with decimals, it can help to think of them in terms of tenths, hundredths, and so on, which translates straight into fractions. Happy math-ing!
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