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

  1. Set up the division problem

To convert the fraction ( \frac{4}{3} ) to a decimal, you divide 4 by 3.

  1. 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.

  1. 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.

  1. 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.

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