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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 of the whole. It has two parts: numerator (number on the top) here, 27 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 32. 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.
27/32 in decimals can be written as 0.84375. It is a terminating decimal, meaning it does not repeat infinitely.
To get 27/32 in decimal, we will use the division method. Here as 27 is smaller than 32, we will take the help of decimal method which will give us 0.84375. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because numerator (27) will be taken as dividend and denominator (32) will be taken as divisor.
Step 2: As 27 is smaller than 32, we will add a decimal point to the quotient and a zero to the dividend to make it 270.
Step 3: Now divide 270 by 32. Let's see how many times 32 fits into 270.
Step 4: 32 fits into 270 eight times (32 × 8 = 256). Write 8 in the quotient place and subtract 256 from 270, which gives 14.
Step 5: Bring down another 0 in the dividend place, making it 140, and repeat the process.
Step 6: Repeat this process until the remainder is zero.
The answer for 27/32 as a decimal will be 0.84375.