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Last updated on March 27th, 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: numerator (number on the top) here, 2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 52. 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 those to the right represent the fractional part.
2/52 in decimals can be written as approximately 0.03846. It is a non-terminating, repeating decimal.
To get 2/52 in decimal, we will use the division method. Since 2 is smaller than 52, we will take the help of the decimal method, which will give us 0.03846. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (2) will be taken as dividend and denominator (52) will be taken as divisor.
Step 2: As 2 is smaller than 52, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, transforming 2 into 20 and adding a decimal point in the quotient place.
Step 3: Now that it is 20, we still cannot divide it by 52, so we will continue adding zeros to the dividend until it becomes a number greater than 52.
Step 4: Once the dividend is large enough, perform the division. The nearest multiple of 52 that fits into 200 is 3, since 52 × 3 = 156.
Step 5: Subtract 156 from 200 to get 44, bring down another 0, making it 440, and repeat the division process. The result will be 8, as 52 × 8 = 416.
Step 6: Continue the division process. The pattern repeats, not getting the remainder as 0, indicating a repeating decimal.
Thus, the answer for 2/52 as a decimal is approximately 0.03846.