14/11 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: the numerator (number on the top) here, 14 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 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 14/11 as a decimal?

$14/11 as a decimal$

Answer

14/11 in decimals can be written as 1.2727….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 14/11 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 (14) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: 14 divided by 11 gives 1 as the quotient, with a remainder of 3. Add a decimal point in the quotient and bring down a 0 to make the remainder 30.

Step 3: Divide 30 by 11, which gives 2 as part of the quotient, with a remainder of 8. Bring down another 0 to make it 80.

Step 4: Divide 80 by 11, which gives 7 as part of the quotient, with a remainder of 3. Bring down another 0 to make it 30 again.

Step 5: Repeat the process as the remainder cycles through, confirming it is a recurring decimal.

The answer for 14/11 as a decimal will be 1.2727……

Important Glossaries for 14/11 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 digit or group of digits repeats infinitely.