What’s 0.06 as a fraction in simplest form
The Correct Answer and Explanation is:
To convert the decimal 0.06 into a fraction, we start by understanding what the decimal represents. The number 0.06 can be expressed as ( \frac{6}{100} ) because the “6” is in the hundredths place. This means there are six hundredths in the decimal.
Steps to Simplify ( \frac{6}{100} )
- Identify the Fraction: The decimal 0.06 is equivalent to the fraction ( \frac{6}{100} ).
- Find the Greatest Common Divisor (GCD): To simplify the fraction, we need to divide both the numerator (6) and the denominator (100) by their greatest common divisor (GCD). The GCD of 6 and 100 is 2.
- Divide the Numerator and Denominator by the GCD:
- For the numerator:
[
6 \div 2 = 3
] - For the denominator:
[
100 \div 2 = 50
] - Therefore, ( \frac{6}{100} ) simplifies to ( \frac{3}{50} ).
- Final Result: The simplest form of 0.06 as a fraction is ( \frac{3}{50} ).
Understanding the Fraction
The fraction ( \frac{3}{50} ) signifies that there are three parts out of a total of fifty equal parts. This is essential for understanding proportions and ratios in mathematics. Fractions like ( \frac{3}{50} ) are commonly encountered in various real-life scenarios, such as when calculating percentages, dividing quantities, or understanding probabilities.
When working with fractions, it’s important to ensure that they are expressed in their simplest form to facilitate easier calculations and clearer communication of the quantity being represented. Simplifying fractions also helps in comparing them, adding, and performing other arithmetic operations effectively.
Thus, 0.06 as a fraction in its simplest form is ( \frac{3}{50} ).