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116 LearnersLast updated on March 4th, 2025
6/18 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 6/18 as a decimal?
Answer
6/18 in decimals can be simplified first to 1/3, which can then be written as 0.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 6/18 in decimal, we can simplify it first. Divide both the numerator and the denominator by their greatest common divisor, which is 6. 6 ÷ 6 = 1 and 18 ÷ 6 = 3, so 6/18 simplifies to 1/3.
Step 1: Identify the simplified fraction, which is 1/3.
Step 2: Use the division method to convert 1/3 to a decimal. Here, as 1 is smaller than 3, we will take help of the decimal method, which will give us 0.3333.
Step 3: 1 is smaller than 3, so we can't divide directly. We'll add a decimal point and a 0 to make it 10 in the dividend place.
Step 4: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9). Subtract 9 from 10 to get 1.
Step 5: Bring down another 0, making it 10 again, and repeat the division process. This division process continues indefinitely.
Showing that 1/3 as a decimal is 0.3333……
Important Glossaries for 6/18 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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