14/21 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (the number on the top) here, 14 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 21. 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 14/21 as a decimal?

$14/21 as a decimal$

Answer

14/21 in decimals can be simplified to approximately 0.66666... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 14/21 in decimal, we will use the division method. Here, since 14 is smaller than 21, we will take the help of the decimal method, which will give us approximately 0.6666. 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 (21) will be taken as the divisor.

Step 2: Since 14 is smaller than 21, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 14 as 140 and add a decimal point in the quotient place.

Step 3: Now that it is 140, we can divide it by 21. Let's see how many times 21 fits into 140.

Step 4: 21 fits into 140 approximately 6 times because 21 × 6 = 126. We will write 6 in the quotient place and subtract 126 from 140 to get 14.

Step 5: Bring down another 0 in the dividend place and make it 140, then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 14/21 as a decimal will be approximately 0.6666...

Important Glossaries for 14/21 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.