1/3 cup to decimal
Understand the Problem
The question is asking to convert a fraction, specifically 1/3 cup, into its decimal form. This involves dividing 1 by 3 to find the equivalent decimal value.
Answer
0.\overline{3}
Answer for screen readers
The decimal form of ( \frac{1}{3} ) cup is ( 0.\overline{3} )
Steps to Solve
- Set up division to convert the fraction to a decimal
To convert ( \frac{1}{3} ) to a decimal, we need to perform the division 1 divided by 3.
- Perform the division
When we divide 1 by 3, it gives us a repeating decimal.
$$ 1 \div 3 = 0.3333\ldots $$
The digit 3 repeats infinitely.
- Write the final answer
The repeating decimal can be written using a bar notation.
Thus, ( \frac{1}{3} ) is equal to ( 0.\overline{3} ).
The decimal form of ( \frac{1}{3} ) cup is ( 0.\overline{3} )
More Information
A fraction like ( \frac{1}{3} ) that converts into a repeating decimal is quite common in mathematics. It's important to recognize and correctly write repeating decimals.
Tips
A common mistake is rounding the repeating decimal too early, for example, writing 0.3 instead of 0.333... . Make sure to represent repeating decimals accurately with the bar notation.