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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 from the whole. It has two parts: the numerator (number on the top), here 3, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 12. 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.
3/12 in decimals can be written as 0.25. It is a terminating decimal, meaning it ends without repeating.
To get 3/12 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 (3) will be taken as the dividend, and the denominator (12) will be taken as the divisor.
Step 2: Divide 3 by 12. Since 3 is smaller than 12, we use decimals to assist in division. Add a decimal point in the quotient place and a 0 to the dividend, making it 30.
Step 3: Determine how many times 12 fits into 30.
Step 4: 12 fits into 30 two times (2 × 12 = 24). Write 2 in the quotient place. Subtract 24 from 30, giving 6.
Step 5: Bring down another 0 in the dividend place to make it 60. Divide 60 by 12.
Step 6: 12 fits into 60 five times (5 × 12 = 60). Write 5 in the quotient place. Subtracting 60 from 60 gives a remainder of 0.
The answer for 3/12 as a decimal will be 0.25.