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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 30. 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.
12/30 in decimals can be simplified and written as 0.4. It is a terminating decimal, meaning it does not repeat infinitely.
To get 12/30 in decimal, we will use the division method. Here as 12 is smaller than 30, it can be written in its simplest form which is 2/5. 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 (30) will be taken as the divisor.
Step 2: Simplify the fraction 12/30 by dividing both numerator and denominator by their greatest common divisor, which is 6.
Step 3: Simplified fraction is 2/5. Now divide 2 by 5 to convert it to decimal form.
Step 4: As 2 is smaller than 5, add a decimal point and a zero to make it 20. Step 5: 5 goes into 20 exactly 4 times, so the quotient is 0.4. There is no remainder.
The answer for 12/30 as a decimal is 0.4.