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105 LearnersLast updated on March 17th, 2025
2 1/9 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) and denominator (number below). In the fraction 1/9, the numerator is 1, representing how many parts out of the whole, and the denominator is 9, showing how many parts make the whole. A decimal is a way to represent a number that is 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, and those to the right represent the fractional part.
What is 2 1/9 as a decimal?
Answer
2 1/9 in decimals can be written as 2.1111... It is a recurring decimal, indicating that the digit will repeat infinitely.
Explanation
To convert 2 1/9 to a decimal, we will first convert the fraction 1/9 into a decimal and then add it to the whole number 2. Here's the step-by-step process:
Step 1: Identify the whole number and the fraction. In 2 1/9, 2 is the whole number, and 1/9 is the fraction.
Step 2: Convert the fraction 1/9 into a decimal using the division method.
Step 3: As 1 is smaller than 9, we will add a decimal point and a zero to make it 10.
Step 4: 10 divided by 9 gives 1 with a remainder of 1. Bring down another 0 to make it 10 again.
Step 5: Repeat the division process. 10 divided by 9 gives 1 with a remainder of 1, and this repeats.
Step 6: The result is a recurring decimal, 0.1111...
Step 7: Add this decimal to the whole number 2, resulting in 2.1111...
The answer for 2 1/9 as a decimal will be 2.1111...
Important Glossaries for 2 1/9 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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