BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on March 27th, 2025

Math Whiteboard Illustration

2/52 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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.

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.
BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom