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120 LearnersLast updated on March 5th, 2025
1/52 as a decimal
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, 1 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 that to the right represents the fractional part.
What is 1/52 as a decimal?
Answer
1/52 in decimals can be written as 0.019230769230769.... It is a repeating decimal, showing it will repeat a sequence of digits infinitely.
Explanation
To get 1/52 in decimal, we will use the division method. Here as 1 is smaller than 52, we will take help of the decimal method which will give us 0.019230769230769....
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 (52) will be taken as the divisor.
Step 2: As 1 is smaller than 52, 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 52. Since 10 is smaller than 52, we bring down another 0, making it 100.
Step 4: 52 goes into 100 one time, so write 1 in the quotient place and subtract 52 from 100, giving 48.
Step 5: Bring down another 0, making it 480, and divide by 52. Continue this process until the division results in a repeating sequence of digits. The division process continues with the remainder not reaching 0, indicating a repeating decimal.
The answer for 1/52 as a decimal will be 0.019230769230769....
Important Glossaries for 1/52 as a decimal
- 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 sequence of digits repeats infinitely.
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