12/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 12 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 12/9 as a decimal?

$12/9 as a decimal$

Answer

12/9 in decimals can be written as 1.3333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 12/9 in decimal, we will use the division method. Here, 12 is greater than 9, so we can directly divide the numbers. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: As 12 is greater than 9, we can divide it directly. Divide 12 by 9 to get 1 with a remainder of 3.

Step 3: Add a decimal point in the quotient place and bring down a 0 to make the remainder 30.

Step 4: Now, divide 30 by 9, which gives 3. 9 × 3 = 27, subtract 27 from 30 to get a remainder of 3.

Step 5: Bring down another 0 and 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 12/9 as a decimal will be 1.3333……

Important Glossaries for 12/9 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 that repeats the same sequence of digits infinitely.