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113 LearnersLast updated on March 17th, 2025
23/9 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 23 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 23/9 as a decimal?
Answer
23/9 in decimals can be written as 2.5555….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To convert 23/9 into a decimal, we will use the division method. Here, since 23 is larger than 9, we can directly divide. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (9) will be taken as the divisor.
Step 2: Divide 23 by 9. The whole number result is 2 since 9 × 2 = 18.
Step 3: Subtract 18 from 23 to get a remainder of 5.
Step 4: Bring down a 0 to make it 50 and continue the division.
Step 5: Divide 50 by 9, which goes 5 times (9 × 5 = 45). Subtract 45 from 50 to get a remainder of 5.
Step 6: Bring down another 0 and repeat the division process. The division process continues, and we don't get the remainder as 0, indicating a recurring decimal.
The answer for 23/9 as a decimal will be 2.5555……
Important Glossaries for 23/9 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 that repeats a digit or group of digits infinitely.
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