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112 LearnersLast updated on March 11th, 2025
6 1/6 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: the numerator (number on the top), here 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent a 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 those to the right represent the fractional part.
What is 6 1/6 as a decimal?
Answer:
6 1/6 in decimals can be written as 6.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation:
To convert 6 1/6 to a decimal, we will use the division method for the fractional part and then combine it with the whole number.
Step 1: Identify the whole number and the fractional part. The whole number is 6, and the fractional part is 1/6.
Step 2: Divide the numerator (1) by the denominator (6) to convert the fraction to a decimal. As 1 is smaller than 6, we will use decimal division, which will give us 0.1666...
Step 3: Combine the whole number with the decimal obtained from the fractional part. The whole number is 6, so we have 6 + 0.1666... = 6.1666...
Step 4: The answer for 6 1/6 as a decimal will be 6.1666...
Important Glossaries for 6 1/6 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 that repeats the same digits infinitely.
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