22/9 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 (number on the top), here 22, which represents how many parts out of the whole, and the denominator (number below), here 9, which shows how many parts make the whole. 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 22/9 as a decimal?

$22/9 as a decimal$

Answer

22/9 in decimals can be written as 2.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 22/9 in decimal, we will use the division method. Here, as 22 is larger than 9, we will proceed with division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 22 by 9. Since 22 is larger than 9, it can be divided. 9 goes into 22 two times, which gives us 18. Write 2 in the quotient place.

Step 3: Subtract 18 from 22, which gives us 4.

Step 4: Bring down a 0 to make it 40 and continue the division.

Step 5: 9 goes into 40 four times, which gives us 36. Write 4 in the quotient place and subtract 36 from 40, leaving 4.

Step 6: Bring down another 0, making it 40 again, and repeat the division process. The division process continues without the remainder becoming 0, indicating a recurring decimal.

The answer for 22/9 as a decimal will be 2.4444……

Important Glossaries for 22/9 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 a digit or group of digits repeats infinitely.