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102 LearnersLast updated on March 16th, 2025
10 4/11 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top) here, which represents how many parts out of the whole. The denominator (the number below) shows 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 part, and those to the right represent the fractional part.
What is 10 4/11 as a decimal?
Answer
10 4/11 in decimals can be written as 10.363636... It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.
Explanation
To convert 10 4/11 to a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number (10) and the fractional part (4/11).
Step 2: Convert the fractional part 4/11 to a decimal by dividing 4 by 11.
Step 3: 4 divided by 11 gives a recurring decimal 0.363636..., as 4 is smaller than 11 and will repeat this division process.
Step 4: Combine the whole number with the decimal of the fraction, so it becomes 10 + 0.363636... Step 5:
Therefore, 10 4/11 as a decimal is 10.363636..., a recurring decimal.
Important Glossaries for 10 4/11 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 sequence of digits repeats infinitely.
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