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112 LearnersLast updated on March 17th, 2025
66 2/3% as a Decimal
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.
What is 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…
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.
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