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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of 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 13. 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.
12/13 in decimals can be written as approximately 0.9230769230769231. It is a non-recurring decimal, meaning it has a finite number of decimal places.
To get 12/13 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 (12) will be taken as the dividend and the denominator (13) will be taken as the divisor.
Step 2: 12 divided by 13 is less than 1, so we will add a decimal point to the quotient and proceed with the division.
Step 3: After adding a decimal point, we multiply 12 by 10, making it 120, and then divide by 13. This gives us the beginning of the decimal expansion.
Step 4: Continue the division process, bringing down additional zeros as needed, until a satisfactory level of precision is reached.
The division process shows that 12/13 as a decimal is approximately 0.9230769230769231.