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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, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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.
1/4 in decimals can be written as 0.25. It is a terminating decimal, indicating it ends and does not repeat infinitely.
To get 1/4 in decimal, we will use the division method. Here as 1 is smaller than 4, we will take help of decimal method which will give us 0.25. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: As 1 is smaller than 4, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 4. Let's see how many times 4 makes 10.
Step 4: 10 is not a multiple of 4, so we will look for the nearest number that is 4 × 2 = 8. We will write 2 in the quotient place and subtract 8 from 10, which gives 2.
Step 5: Bring down another 0 in the dividend place and make 2 as 20, and then repeat the division process.
Step 6: 4 goes into 20 exactly 5 times (4 × 5 = 20), and we write 5 in the quotient place. The remainder is 0, which ends the division process.
The answer for 1/4 as a decimal will be 0.25.