As one of the most important concepts in math, division is among the first operations that students learn. However, all the division problems do not yield a whole number. For instance, when you divide 2 by 3, you get the introduction to fractions and repeating decimals.
In case you have ever been curious about what is 2 divided by 3, this article is for you. Here, we provide an easy-to-understand explanation of this division question using fractions, long division, decimals, percentages, and practical examples.
At the end of this article, you shall understand how to solve this division problem and appreciate why the solution is a repeating decimal.
What Is 2 Divided by 3?
Solution:
2 ÷ 3 = 2/3
Because 2 is smaller than 3, the solution will be less than one.
There are different ways to present the solution:
Form Solution
Fraction 2/3
Decimal 0.666666…
Percentage 66.67% (rounded)
How to Solve 2 Divided by 3
These are easy steps to follow:
Step 1: Write the division.
2 ÷ 3
Step 2: Rewrite the problem in fraction form.
2/3
Step 3: Use long division.
3 does not go into 2, therefore you put down 0.
Add a zero to give 20.
3 goes into 20 six times.
6 × 3 gives 18.
Subtract and continue with the process.
Therefore:
0.666666…
The number 6 is repeated infinitely.
Fraction Form
The fraction form of 2 divided by 3 is:
2/3
This fraction is already in its simplest form because 2 and 3 have no common factors other than 1.
Decimal Form
The decimal form is:
0.666666…
It can also be written as 0.6̅. where the bar means the digit 6 repeats forever.
| Decimal Places | Answer |
|---|---|
| 1 | 0.7 |
| 2 | 0.67 |
| 3 | 0.667 |
Percentage Form
To convert 2 divided by 3 into a percentage, multiply the decimal by 100.
0.666666… × 100 = 66.666666…%
Rounded to two decimal places:
66.67%
Examples from Real Life
- Pizza Sharing
When 2 pizzas are divided among 3 friends equally, each one will get:
2/3 of a pizza
- Money Sharing
When $2 is distributed among 3 people equally, each one will get approximately $0.67.
- Cooks
When 2 cups of flour are required for making 3 batches of something, each batch requires:
2/3 cup of flour
Mistakes to Avoid
Some common mistakes are:
- Putting 0 as an answer
- Putting 0.6 as the decimal value for 2/3
- Trying to simplify 2/3 more
- Thinking that the decimal doesn’t repeat endlessly
Practice Problems
Frequently Asked Questions
- What is 2 divided by 3?
The answer for 2 divided by 3 is 2/3 or 0.666666….
- What is 2 divided by 3 in fraction form?
2/3
- What is 2 divided by 3 in decimal form?
0.666666…
- Is 2 divided by 3 a repeating decimal?
Yes. The digit 6 keeps repeating itself.
- What is 2 divided by 3 in percent form?
66.67% (rounded off)
- Can 2/3 be reduced?
No.
Conclusion: Now you have the solution for 2 divided by 3.
Fraction: 2/3
Decimal: 0.666666…
Percentage: 66.67%
While it may not be a whole number, it becomes clear how to solve this problem when you consider that there are two things divided evenly between three people. Regardless of whether it’s doing your homework or just learning math, being able to work out 2 divided by 3 as a fraction, decimal, or percentage is helpful knowledge
You can opt for our Advanced Math or Vedic Math+Mental Math courses. Our Math Quiz for grades 3rd, 4th, 5th, and 6th helps you get further excited and engaged in mathematics with hands-on lessons.
