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103 LearnersLast updated on March 13th, 2025
13/52 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, 13 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.
What is 13/52 as a decimal?
Answer
13/52 in decimals can be written as 0.25. It is a terminating decimal, showing it does not repeat infinitely.
Explanation
To get 13/52 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (52) will be taken as the divisor.
Step 2: Perform the division of 13 by 52. As 13 is smaller than 52, the quotient begins with 0 and we introduce a decimal point.
Step 3: Multiply 13 by 10 (making it 130) and then divide by 52.
Step 4: 52 goes into 130 twice, as 52 × 2 = 104. Write 2 in the quotient place. Subtract 104 from 130, leaving a remainder of 26.
Step 5: Bring down another 0, making it 260. Divide 260 by 52, resulting in 5, as 52 × 5 = 260. Subtracting gives a remainder of 0. This process results in a terminating decimal.
The answer for 13/52 as a decimal is 0.25.
Important Glossaries for 13/52 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.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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