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Last updated on March 3rd, 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: the 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 20. 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.
9/20 in decimals can be written as 0.45. It is a terminating decimal, indicating it does not repeat infinitely.
To get 9/20 in decimal, we will use the division method. Here, 9 is smaller than 20, so we will take help of the decimal method, which will give us 0.45. 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 (20) will be taken as the divisor.
Step 2: As 9 is smaller than 20, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 9 as 90 and add a decimal point in the quotient place.
Step 3: Now that it is 90, we can divide it by 20. Let's see how many times 20 fits into 90.
Step 4: 20 fits into 90 four times, as 20 × 4 = 80. We will write 4 in the quotient place and subtract 80 from 90, which gives 10.
Step 5: Bring down another 0 in the dividend place, making 10 as 100, and then repeat the division process. Step 6: 20 fits into 100 five times, as 20 × 5 = 100. We will write 5 in the quotient place, and subtracting 100 from 100 gives 0, which ends the division.
The division process terminates here, and the answer for 9/20 as a decimal will be 0.45.