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108 LearnersLast updated on March 11th, 2025
27/40 as a Decimal
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 40. A decimal is a way to represent the 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.
What is 27/40 as a decimal?
Answer
27/40 in decimals can be written as 0.675. It is a terminating decimal, indicating it ends after a certain number of digits.
Explanation
To get 27/40 in decimal, we will use the division method. 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 (40) will be taken as the divisor.
Step 2: Divide 27 by 40. Since 27 is smaller than 40, we will place a decimal point in the quotient and consider it as 270.
Step 3: Now divide 270 by 40. 40 goes into 270 a total of 6 times (since 40*6 = 240).
Step 4: Subtract 240 from 270 to get 30.
Step 5: Bring down another 0 to make it 300, and then divide 300 by 40. 40 goes into 300 a total of 7 times (since 40*7 = 280).
Step 6: Subtract 280 from 300 to get 20.
Step 7: Bring down another 0 to make it 200, and then divide 200 by 40. 40 goes into 200 a total of 5 times (since 40*5 = 200).
The division process ends here with no remainder, so 27/40 as a decimal is 0.675.
Important Glossaries for 27/40 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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