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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 (the number on the top) here, 4 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 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 that to the right represents the fractional part.
4/25 in decimals can be written as 0.16. It is a terminating decimal, meaning it ends after a certain number of digits.
To get 4/25 in decimal, we will use the division method. Here as 4 is smaller than 25, we will take the help of the decimal method which will give us 0.16. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (25) will be taken as the divisor.
Step 2: As 4 is smaller than 25, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.
Step 3: Now that it is 40, we can divide it by 25. Let's see how many times 25 makes 40.
Step 4: 25 goes into 40 once, so we write 1 in the quotient place and subtract 25 from 40, which gives 15.
Step 5: Bring down another 0 in the dividend place, making it 150, and then repeat the division process.
Step 6: 25 goes into 150 exactly 6 times, so we write 6 in the quotient place. The division process finishes here with no remainder.
The answer for 4/25 as a decimal will be 0.16.