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Last updated on March 4th, 2025
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, 11 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 that to the right represents the fractional part.
11/9 in decimals can be written as 1.2222….. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 11/9 in decimal, we will use the division method. Here as 11 is larger than 9, we can directly proceed with division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (9) will be taken as the divisor.
Step 2: 11 divided by 9 gives 1 as the quotient with a remainder of 2.
Step 3: Add a decimal to the quotient, and bring down a 0 to make the remainder 20.
Step 4: 20 divided by 9 gives 2, with a new remainder of 2.
Step 5: Bring down another 0 and repeat the division process with the new remainder. This process continues, and we observe a repeating pattern.
Thus, the answer for 11/9 as a decimal will be 1.2222……