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Last updated on March 13th, 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: the numerator (the number on the top) here, 27, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 36. A decimal is a way to represent a number that is not whole, using 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.
27/36 in decimals can be written as 0.75. It is a terminating decimal.
To get 27/36 in decimal form, we will use the division method. Here, 27 is smaller than 36, so we will use the decimal method to get 0.75. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (27) will be taken as the dividend and the denominator (36) as the divisor.
Step 2: As 27 is smaller than 36, it can't be divided directly. We will add a decimal point in the quotient place and a zero to the dividend, making 27 as 270.
Step 3: Now that it is 270, we can divide it by 36. Let's see how many times 36 fits into 270.
Step 4: 36 goes into 270 a total of 7 times because 36 × 7 = 252. We will write 7 in the quotient place and subtract 252 from 270, giving us 18.
Step 5: Bring down another 0 in the dividend place to make it 180, and then repeat the division process.
Step 6: 36 goes into 180 five times because 36 × 5 = 180. Subtracting gives a remainder of 0.
The answer for 27/36 as a decimal is 0.75.