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Last updated on May 26th, 2025

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66 2/3% as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn percentages and decimals. A percentage is a way to express a number as a fraction of 100. Here, 66 2/3% represents a part of the whole 100%. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

66 2/3% as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 66 2/3% as a decimal?

66 2/3% as a decimal

 

Answer

 

66 2/3% in decimal can be written as 0.66666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 66 2/3% to a decimal, we will follow the steps below:

 

Step 1: Understand that 66 2/3% is equivalent to 66.66666...%

 

Step 2: Convert the percentage to a fraction: 66 2/3% = 66 2/3 / 100

 

Step 3: Change 66 2/3 to an improper fraction: 66 2/3 = 200/3

 

Step 4: Divide 200/3 by 100 to convert it into a decimal: (200/3) ÷ 100

 

Step 5: Simplify the division: (200/3) × (1/100) = 200/300 = 2/3 Step 6: Convert 2/3 to a decimal using long division: 2 divided by 3 gives 0.66666...

 

The answer for 66 2/3% as a decimal will be 0.66666…

Professor Greenline from BrightChamps

Important Glossaries for 66 2/3% as a decimal

  • Percentage: A number or ratio expressed as a fraction of 100.

 

  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • Recurring Decimal: A decimal fraction that repeats a digit or group of digits indefinitely.

 

  • Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.

 

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 66 2/3% as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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