4/6 as a Fraction: Simplifying and Understanding
When we come across a percentage, it's often helpful to convert it to a fraction to better understand its value. In this article, we'll explore how to convert 4/6 as a percentage to a fraction, simplify it, and discuss its equivalent ratios.
Converting 4/6 to a Fraction
To convert 4/6 as a percentage to a fraction, we can follow a simple step:
- Divide the numerator (4) by the denominator (6) to get the decimal equivalent: 4 ÷ 6 = 0.67
- Convert the decimal to a fraction by placing the decimal value over 100: 0.67 = 2/3
So, 4/6 as a percentage is equivalent to the fraction 2/3.
Simplifying the Fraction
The fraction 2/3 is already in its simplest form. We can verify this by checking if both the numerator and denominator have no common factors other than 1.
Equivalent Ratios
The fraction 2/3 has several equivalent ratios, which are fractions that have the same value:
- 4/6 (the original percentage)
- 2/3 (the simplified fraction)
- 6/9
- 8/12
- and so on...
These equivalent ratios can be helpful when comparing values or scaling quantities.
Conclusion
In conclusion, 4/6 as a percentage is equivalent to the simplified fraction 2/3. By converting percentages to fractions, we can better understand their values and equivalent ratios, making it easier to work with them in various mathematical operations.
