What is 2/3 as a percentage?

Hello, young mathematicians! Let's dive into the captivating world of fractions and percentages. Get ready through the methods for converting 2/3 into a percentage with us!

Answer: 2/3 as a percentage is 66.667…%

When you have a fraction like 2/3, it means you have 2 parts out of a total of 3 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 2/3, when you convert it to an equivalent fraction with a denominator of 100, you get 66.667…%.

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: 2/3

Step 2: 

Create an equivalent fraction with a denominator of 100. To do this, determine what number you need to multiply the 3 by to reach 100. In this case, you'd need to multiply both the numerator and denominator by 333.3333333333333.

Step 3:

The numerator of the equivalent fraction represents the part out of 100, so the percentage is 66.667…%.

So, 2/3 as a percentage is 66.667…%.

Method 2: Divide and Multiply by 100

Step 1: 

Write down the fraction: 2/3

Step 2: 

Divide the numerator by the denominator: 2 ÷ 3 = 66.667…%

Step 3: 

Multiply the result by 100 to express it as a percentage: 66.667…% * 100 = 66.667…%

Again, you get the same result: 2/3 as a percentage is 66.667…%.

Method 3: Fraction to Decimal to Percentage

Step 1: 

Write down the fraction: 2/3

Step 2: 

Convert the fraction to a decimal using division: 2 ÷ 3 = 66.667…%

Step 3: 

Convert the decimal to a percentage by multiplying it by 100: 66.667…% * 100 = 66.667…%

Each method confirms that 2/3 as a percentage is 66.667…%.

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)