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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: 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 25. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
3/25 in decimals can be written as 0.12. It is a terminating decimal, meaning it does not repeat infinitely.
To get 3/25 in decimal, we will use the division method. Since 3 is smaller than 25, we will use the decimal method that will give us 0.12.
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 (25) will be taken as the divisor.
Step 2: As 3 is smaller than 25, it can't be divided, so we will use decimals. We will add 0 to the dividend, which will make 3 as 30 and add a decimal point in the quotient place.
Step 3: Now that it is 30, we can divide it by 25. Let's see how many times 25 makes 30.
Step 4: 30 is not a multiple of 25, so we will look for the nearest number which is 25 × 1 = 25. We will write 1 in the quotient place and subtract 25 from 30 giving us 5.
Step 5: Bring down another 0 in the dividend place and make 5 as 50, then repeat the division process.
Step 6: 50 divided by 25 is 2, so we write 2 in the quotient place. Now we have 0 remainder. The division process ends here as we get a remainder of 0. This process shows that the decimal representation is terminating.
The answer for 3/25 as a decimal is 0.12.