117 LearnersLast updated on March 21st, 2025
6 1/3 as a decimal
This is a simple question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), which in this case is 1, representing how many parts of the whole are being considered. The denominator (the number below) is 3, showing how many parts make up the whole. A decimal is a way to represent numbers that are 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, while those to the right represent the fractional part.
What is 6 1/3 as a decimal?
Answer
6 1/3 in decimals can be written as 6.33333... This is a recurring decimal, indicating that the digit 3 repeats infinitely.
Explanation
To convert 6 1/3 to a decimal, we will first convert 1/3 to a decimal and then add it to the whole number 6. Let's see the step-by-step breakdown of the process:
Step 1: Identify the fractional part, which is 1/3. We need to convert this to a decimal.
Step 2: As 1 is smaller than 3, it cannot be divided. We will use the decimal method: divide 1 by 3, which gives 0.3333...
Step 3: Now, add this decimal to the whole number 6. Thus, 6 + 0.3333... = 6.3333... This process is called recurring decimal conversion.
The answer for 6 1/3 as a decimal is 6.3333...
Important Glossaries for 6 1/3 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part. Recurring
- Decimal: A decimal in which one or more digits repeat infinitely.
- Whole Number: A number without fractions; an integer.
- Mixed Number: A number consisting of an integer and a proper fraction.
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