6 Percent as a Decimal and Fraction
Introduction
Percentages are an essential part of mathematics and are used in various aspects of our daily lives. One of the most common percentages is 6%, which is often used to represent a small proportion of a whole. In this article, we will explore how to express 6% as a decimal and a fraction.
6% as a Decimal
To convert 6% to a decimal, we can simply divide by 100. This is because the symbol "%" means "per hundred".
6% ÷ 100 = 0.06
So, 6% is equal to 0.06 as a decimal.
6% as a Fraction
To convert 6% to a fraction, we can write it as:
6/100
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
6 ÷ 2 = 3 100 ÷ 2 = 50
So, the simplified fraction is:
3/50
Therefore, 6% is equal to 3/50 as a fraction.
Conclusion
In conclusion, 6% can be expressed as 0.06 as a decimal and 3/50 as a fraction. Understanding how to convert percentages to decimals and fractions is an important skill in mathematics, and can be applied to various problems in real-life scenarios.
Common Applications of 6%
6% is commonly used in various aspects of our lives, such as:
- Interest Rates: 6% is a common interest rate for savings accounts and loans.
- Discounts: 6% is often used as a discount rate for sales and promotions.
- Grades: 6% can be used to calculate grades in academic institutions.
- Finance: 6% is used to calculate returns on investments and dividends.
By understanding how to express 6% as a decimal and fraction, we can better comprehend and apply these concepts in our daily lives.
