What is 4/3 as a decimal?
Understand the Problem
The question is asking to convert the fraction 4/3 into its decimal form, which involves performing the division of 4 by 3.
Answer
1.3333...
Answer for screen readers
The final answer is 1.3333...
Steps to Solve
- Set up the division problem
To convert the fraction ( \frac{4}{3} ) to a decimal, you divide 4 by 3.
- Perform the division
When you divide 4 by 3, you get 1 with a remainder of 1. To continue the division, add a decimal point and a zero. This gives you 10 divided by 3.
- Continue the division process
Divide 10 by 3 to get 3 with a remainder of 1. Add another zero and divide again. This process will repeat.
$$ 4 \div 3 = 1.3333\ldots $$
The 3's continue indefinitely.
- Round the result if necessary
If you need to round the result to a certain number of decimal places, do so as required. For example, 1.33 (rounded to two decimal places).
The final answer is 1.3333...
More Information
In mathematics, a repeating decimal is a way of representing a fraction whose decimal expansion has a repeating sequence of digits.
Tips
A common mistake to avoid is stopping the division too soon and not recognizing it is a repeating decimal.
