What is 1/20 as a percentage?

Hello, young mathematicians! Let's dive into the captivating world of fractions and percentages. Get ready through the methods for converting 1/20 into a percentage with us!

Answer: 1/20 as a percentage is 5%

When you have a fraction like 1/20, it means you have 1 parts out of a total of 20 parts. To express this fraction as a percentage, you're comparing it to a whole of 100 parts. So, you're calculating how many out of those 100 parts your fraction represents.

In the case of 1/20, when you convert it to an equivalent fraction with a denominator of 100, you get 5%.

There are many methods you can apply, and they allow you to convert fractions to percentages, helping you relate fractions to the concept of parts out of 100.

Method 1: Using Equivalent Fractions

Step 1: 

Write down the fraction: 1/20

Step 2: 

Create an equivalent fraction with a denominator of 100. To do this, determine what number you need to multiply the 20 by to reach 100. In this case, you'd need to multiply both the numerator and denominator by 0.05.

Step 3:

The numerator of the equivalent fraction represents the part out of 100, so the percentage is 5%.

So, 1/20 as a percentage is 5%.

Method 2: Divide and Multiply by 100

Step 1: 

Write down the fraction: 1/20

Step 2: 

Divide the numerator by the denominator: 1 ÷ 20 = 5%

Step 3: 

Multiply the result by 100 to express it as a percentage: 5% * 100 = 5%

Again, you get the same result: 1/20 as a percentage is 5%.

Method 3: Fraction to Decimal to Percentage

Step 1: 

Write down the fraction: 1/20

Step 2: 

Convert the fraction to a decimal using division: 1 ÷ 20 = 5%

Step 3: 

Convert the decimal to a percentage by multiplying it by 100: 5% * 100 = 5%

Each method confirms that 1/20 as a percentage is 5%.

Remember, practice makes perfect! The more you work with these conversions, the more comfortable you'll become with the process.

Common Core State Standards

Grade 7

Ratios and Proportional Relationships (7.RP)