What is -2.3 as a Fraction?
Converting decimals to fractions might seem daunting at first, but it's a straightforward process. Let's break down how to turn -2.3 into a fraction.
Understanding Decimals and Fractions
Decimals represent parts of a whole number, while fractions express the same concept using a numerator (top number) and a denominator (bottom number). For example, 0.5 is equivalent to 1/2, and 0.75 is equivalent to 3/4.
Steps to Convert -2.3 to a Fraction
- Count the decimal places: In -2.3, there's one decimal place.
- Create a fraction with the decimal as the numerator: The numerator will be -23.
- The denominator is a power of 10 based on the decimal places: Since there's one decimal place, the denominator will be 10.
- Simplify the fraction: The fraction we have now is -23/10. This fraction is already in its simplest form.
Explanation
-2.3 can be represented as -2 and 3 tenths. This translates directly into the fraction -23/10.
Example
Let's take another example: 0.25
- Count decimal places: There are two decimal places.
- Create the numerator: 25
- Create the denominator: 100 (10 to the power of 2)
- Simplify: 25/100 simplifies to 1/4.
Key Points
- Negative decimals become negative fractions.
- The number of decimal places determines the denominator's power of 10.
- Always simplify fractions to their lowest terms.
Conclusion
Converting -2.3 to a fraction is a simple process. By understanding the connection between decimals and fractions, you can confidently convert any decimal into its fractional form. Remember to simplify the fraction to its lowest terms.