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Last updated on March 13th, 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, 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 up the whole, here it is 60. 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.
12/60 in decimals can be simplified first to 1/5, which is then written as 0.2. It is a terminating decimal, meaning it ends after a certain number of digits.
To get 12/60 in decimal form, we will use the division method. Since 12 is smaller than 60, we will place a decimal point in the quotient to help with the division. 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 (60) will be taken as the divisor.
Step 2: As 12 is smaller than 60, we can't divide directly, so we will add a decimal point in the quotient and a zero to the dividend, making 12 as 120.
Step 3: Now that it is 120, we can divide it by 60. Let's see how many times 60 fits into 120.
Step 4: 120 is a multiple of 60, specifically 60 x 2 = 120.
Step 5: Write 2 in the quotient place, and subtract 120 from 120, giving us a remainder of 0. The division process gives us 0.2, which is a terminating decimal.
The answer for 12/60 as a decimal is 0.2.