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Last updated on March 5th, 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 (the number on the top), here 12, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 18. 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, and those to the right represent the fractional part.
12/18 in decimals can be simplified first to 2/3, which can be written as 0.66666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
To get 12/18 in decimal, we will use the division method. First, simplify the fraction 12/18 to 2/3. Let's see the step-by-step breakdown of the process:
Step 1: Simplify the fraction 12/18 by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives us 2/3.
Step 2: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (3) will be taken as the divisor.
Step 3: As 2 is smaller than 3, it can't be divided directly, so we will take the help of decimals. We will add a decimal point and a zero to the dividend, making it 20.
Step 4: Now that it is 20, we can divide it by 3. Let's see how many times 3 fits into 20.
Step 5: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place, and subtract 18 from 20 gives 2.
Step 6: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. This division process continues, as we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 12/18 as a decimal will be 0.6666……