Decimal Vs Fraction
1. The question asks why decimals are used and if fractions can be used instead.
2. Decimals and fractions are two ways to represent numbers that are not whole.
3. A fraction is written as $\frac{a}{b}$ where $a$ and $b$ are integers and $b \neq 0$.
4. A decimal is a number expressed in the base-10 system, often used for easier calculation and readability.
5. Any decimal that terminates or repeats can be converted exactly into a fraction.
6. For example, the decimal 0.75 can be written as the fraction $\frac{3}{4}$.
7. Sometimes decimals are preferred for simplicity in arithmetic or when dealing with measurements.
8. Fractions are exact representations, especially useful in algebra and when precision is required.
9. So yes, decimals can always be converted to fractions if needed, and fractions can be converted to decimals.
10. The choice depends on context and convenience.