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109 LearnersLast updated on March 17th, 2025
2 4/6 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: numerator (number on the top) here, 4 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 2 4/6 as a decimal?
Answer
2 4/6 in decimals can be written as 2.6666... It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 2 4/6 in decimal, we will use division method. First, simplify the fraction 4/6 to 2/3. Then convert the mixed number to an improper fraction: (2×3+2)/3 = 8/3. Now, let's see the step-by-step breakdown of the process:
Step 1: Divide the numerator (8) by the denominator (3).
Step 2: 8 divided by 3 gives 2 with a remainder of 2.
Step 3: As 2 is less than 3, we will use the decimal method. Add a decimal to the quotient and continue the division.
Step 4: Bring down another 0 in the dividend place, making it 20.
Step 5: 20 divided by 3 gives 6, with a remainder of 2, and continue the division process. The division process continues as we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 2 4/6 as a decimal will be 2.6666...
Important Glossaries for 2 4/6 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 in which a digit or group of digits repeats infinitely.
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