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Last updated on March 24th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
9/22 in decimals can be written as approximately 0.40909. It is a recurring decimal, showing that part of it will repeat infinitely.
To get 9/22 in decimal, we will use the division method. Here, 9 is smaller than 22, so we will use the decimal method which will give us approximately 0.40909. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (22) will be taken as the divisor.
Step 2: As 9 is smaller than 22, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 9 as 90, and add a decimal point in the quotient place.
Step 3: Now that it is 90, we can divide it by 22. Let's see how many times 22 fits into 90.
Step 4: 22 goes into 90 four times (22 × 4 = 88). We will write 4 in the quotient place and subtract 88 from 90, leaving 2.
Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. The division process continues, and we don't get the remainder as 0, indicating a recurring decimal.
The answer for 9/22 as a decimal will be approximately 0.40909...