12/27 as a Decimal

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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 12, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 27. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 12/27 as a decimal?

$12/27 as a decimal$ Answer

12/27 in decimals can be written as approximately 0.44444. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 12/27 into a decimal, we will use the division method. Since 12 is smaller than 27, we will utilize the decimal method, which gives us 0.4444. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (12) will be taken as the dividend, and the denominator (27) will be the divisor.

Step 2: As 12 is smaller than 27, it can't be divided directly, so we will add a decimal point in the quotient place and add a 0 to the dividend, making it 120.

Step 3: Now divide 120 by 27. Determine how many times 27 fits into 120.

Step 4: 27 goes into 120 approximately 4 times (since 27 × 4 = 108). Write 4 in the quotient place and subtract 108 from 120 to get 12.

Step 5: Bring down another 0 in the dividend place, making it 120 again, and repeat the division process. This division process continues without reaching a remainder of 0, which is called a recurring decimal.

The answer for 12/27 as a decimal will be approximately 0.4444.

Important Glossaries for 12/27 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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.