2/52 as a Decimal

Answer

2/52 in decimals can be written as approximately 0.03846. It is a non-terminating, repeating decimal.

Explanation

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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely after the decimal point.