29/11 as a Decimal

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It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 29, which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole, here it is 11. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 29/11 as a decimal?

$29/11 as a decimal$ Answer

29/11 in decimals can be written as 2.63636… It is a recurring decimal, which means it will repeat the same digits infinitely.

Explanation

To convert 29/11 into a decimal, we will use the division method. Since 29 is greater than 11, we can directly divide it. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (29) will be taken as the dividend, and the denominator (11) will be taken as the divisor.

Step 2: Divide 29 by 11. Since 29 is larger than 11, we can perform the division directly.

Step 3: Determine how many times 11 fits into 29, which is 2 times (11×2=22). Write 2 in the quotient place.

Step 4: Subtract 22 from 29 to get a remainder of 7.

Step 5: Bring down a 0 to make the remainder 70 and divide by 11.

Step 6: Determine how many times 11 fits into 70, which is 6 times (11×6=66). Write 6 in the quotient place and subtract 66 from 70 to get a remainder of 4.

Step 7: Bring down another 0 to make the remainder 40 and continue the division process. This division process continues, and we do not get a remainder of 0. This process is called a recurring decimal.

The answer for 29/11 as a decimal is 2.63636…

Important Glossaries for 29/11 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 one or more digits repeat infinitely.