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Last updated on May 26th, 2025

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2/52 as a Decimal

Professor Greenline Explaining Math Concepts

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 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 2/52 as a decimal?

 

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.

Professor Greenline from BrightChamps

Important Glossaries for 2/52 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 digit or group of digits repeats infinitely after the decimal point.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 2/52 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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