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112 LearnersLast updated on March 11th, 2025
2 5/9 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 a whole. It has two parts: numerator (number on the top), here 5 represents how many parts out of the whole, and 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 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 5/9 as a decimal?
Answer:
2 5/9 in decimals can be written as 2.5555….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation:
To convert 2 5/9 to a decimal, we separate the whole number and the fractional part. The whole number is 2. Now, let's convert 5/9 to a decimal using the division method. Here is the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (9) will be taken as the divisor.
Step 2: As 5 is smaller than 9, it can't be divided; here, we will take the help of decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.
Step 3: Now that it is 50, we can divide it by 9. Let's see how many times 9 makes up 50.
Step 4: 50 is not a multiple of 9, but the nearest number is 9 × 5 = 45. We will write 5 in the quotient place and subtract 45 from 50, which gives 5.
Step 5: Bring down another 0 in the dividend place, making 5 as 50, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
Therefore, the answer for 2 5/9 as a decimal will be 2.5555……
Important Glossaries for 2 5/9 as a decimal
- Mixed Number: A number consisting of an integer and a proper fraction.
- 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.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
- Division Method: A mathematical process used to convert fractions to decimals by dividing the numerator by the denominator.
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