What is 5% as a fraction?
5% can be written as a fraction by converting the percentage to a decimal and then to a fraction. To convert 5% to a decimal, divide 5 by 100, which equals 0.05. To convert 0.05 to a fraction, we can use the following steps:
- Multiply both the numerator and denominator by 10 for every digit after the decimal point. In this case, 0.05 has two digits after the decimal point, so we'll multiply by 100.
- The fraction becomes 5/100.
- Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD. The GCD of 5 and 100 is 5, so we can divide both by 5 to get 1/20.
So, 5% can be written as a fraction as 1/20.
It's important to understand the underlying concept of percentage and how they are used in real life scenarios. A percentage is a way of expressing a number as a fraction of 100. For example, 5% means 5 out of 100 or 5/100. The symbol % is used to indicate a percentage. When we write 5%, we are saying that a number is 5 hundredths or 0.05.
Percentage is often used in many real-life situations, such as in finance, economics, and statistics. For example, when calculating interest on a savings account, the interest rate is often given as a percentage. When converting the interest rate to a decimal, it can be used to calculate the amount of interest earned. In the same way, when shopping, discounts are often given as a percentage off the original price. To calculate the final price, the discount percentage must be converted to a decimal and multiplied by the original price.
It's also important to be able to convert a percentage to a fraction, as it allows us to compare different parts of a whole. For example, if we know that 5% of a group of people have a certain characteristic, and we want to compare that to another group where 15% of the people have that characteristic, we can compare the fractions 1/20 and 3/20. This is much easier to understand than comparing 0.05 and 0.15 as decimals.
In conclusion, converting a percentage to a fraction is a simple mathematical calculation that can be done by dividing the percentage by 100 to get the decimal representation, then converting the decimal to a fraction by multiplying the numerator and denominator by a power of 10, and simplifying the fraction. Understanding the underlying concepts and applications of percentages and fractions can help in better grasp the process of conversion and use them in real life situations.