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109 LearnersLast updated on March 16th, 2025
27/45 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: the numerator (number on the top), here 27, which represents how many parts out of the whole, and the denominator (number below), here 45, which shows how many parts make the whole. 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 27/45 as a decimal?
Answer
27/45 in decimals can be written as 0.6. It is a terminating decimal, meaning it does not repeat indefinitely.
Explanation
To convert 27/45 to a decimal, we will use the division method. Here's a 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 (45) will be taken as the divisor.
Step 2: Divide 27 by 45. Since 27 is smaller than 45, it can't be divided directly to give a whole number; here, we will make use of decimals.
Step 3: Add a decimal point and 0 to the dividend, making it 270, and start with a decimal point in the quotient place.
Step 4: Now divide 270 by 45.
Step 5: Determine how many times 45 goes into 270. We find that 45 × 6 = 270.
Step 6: The quotient is 0.6, and the remainder is 0, indicating that this division terminates.
The answer for 27/45 as a decimal is 0.6.
Important Glossaries for 27/45 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number based on the base ten that 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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