Converting Decimals to Fractions: 1/4 and 1/9 as Fractions
In mathematics, decimals and fractions are two common ways to represent numerical values. While decimals are handy for quick calculations, fractions provide a more intuitive understanding of part-to-whole relationships. In this article, we'll explore how to convert 1/4 and 1/9 from decimals to fractions.
What is 1/4 as a Fraction?
The decimal 0.25 is equal to the fraction 1/4. This is because when you divide 1 by 4, the result is 0.25.
What is 1/9 as a Fraction?
The decimal 0.11 (repeating) is equal to the fraction 1/9. You can think of it this way: if you divide 1 by 9, the result is an infinite repeating decimal, which is approximately 0.111...
Conversion Formula: Decimal to Fraction
If you have a decimal value, you can convert it to a fraction using the following formula:
Fraction = Decimal / (10^n)
Where n is the number of decimal places.
For example, to convert 0.25 to a fraction:
Fraction = 0.25 / (10^2)
Fraction = 1 / 4
Conclusion
In conclusion, 1/4 and 1/9 as fractions are equivalent to the decimals 0.25 and 0.11 (repeating), respectively. Understanding how to convert between decimals and fractions is essential for mathematical proficiency. By using the formula above, you can convert any decimal to a fraction and gain a deeper understanding of numerical relationships.
