12/11 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 from the whole. It has two parts, numerator (number on the top) here, 12 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. 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 12/11 as a decimal?

$12/11 as a decimal$ Answer

12/11 in decimals can be written as 1.090909. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 12/11 in decimal, we will use the division method. Here, as 12 is greater than 11, division can be carried out directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (12) will be taken as the dividend and denominator (11) will be taken as the divisor.

Step 2: Divide 12 by 11. 11 goes into 12 one time, so write 1 in the quotient place. Subtract 11 from 12 to get a remainder of 1.

Step 3: Add a decimal point in the quotient place and bring down a 0 to make the remainder 10. Divide 10 by 11. Since 10 is less than 11, write 0 in the quotient.

Step 4: Bring down another 0 to make it 100. 11 goes into 100 nine times (11 × 9 = 99). Write 9 in the quotient place and subtract 99 from 100 to get a remainder of 1.

Step 5: Repeat the process: bring down another 0 to make it 10, divide by 11, and continue. The sequence 090909. will repeat indefinitely.

The answer for 12/11 as a decimal will be 1.090909.

Important Glossaries for 12/11 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 a sequence of digits repeats infinitely.