Question
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Answer
\[
\frac{14}{5} = 2 \frac{4}{5} \quad \text{or} \quad 2.8
\]
Solution
To simplify \( \frac{14}{5} \), you can express it both as a mixed number and as a decimal.
### As a Mixed Number:
A mixed number combines a whole number and a proper fraction.
1. **Divide the numerator by the denominator:**
\[
14 \div 5 = 2 \text{ with a remainder of } 4
\]
2. **Write the mixed number:**
\[
2 \frac{4}{5}
\]
### As a Decimal:
To convert the fraction to a decimal, divide the numerator by the denominator.
\[
\frac{14}{5} = 14 \div 5 = 2.8
\]
### **Final Answer:**
\[
\frac{14}{5} = 2 \frac{4}{5} \quad \text{or} \quad 2.8
\]
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Simplify this solution Bonus Knowledge
The fraction \( \frac{14}{5} \) is an improper fraction, meaning the numerator is greater than the denominator. When you divide 14 by 5, you get 2 with a remainder of 4. So, it can be expressed as the mixed number \( 2 \frac{4}{5} \). This gives you a clearer idea of how much more than 2 this fraction represents! In decimal form, \( \frac{14}{5} = 2.8 \). This means, if you had 14 of something and shared it among 5 people, each person would get 2.8 units. Decimal representations can be incredibly useful in various situations, such as budgeting or cooking, where precise amounts are necessary.
