BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon121 Learners

Last updated on March 18th, 2025

Math Whiteboard Illustration

12/90 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 of the whole. It has two parts: the numerator (number on the top), here 12, which represents how many parts out of the whole, and the denominator (number below), here 90, which shows how many parts make the whole. A decimal is a way to represent a 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.

12/90 as a Decimal for Qatari Students
Professor Greenline from BrightChamps

What is 12/90 as a decimal?

12/90 as a decimalAnswer

 

12/90 in decimals can be written as 0.1333... It is a recurring decimal, indicating that it will repeat the same digit infinitely.

 

Explanation

 

To convert 12/90 into a decimal, we will use division. Since 12 is smaller than 90, we will use the decimal method, which will give us 0.1333. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend, and the denominator (90) will be taken as the divisor.

 

Step 2: As 12 is smaller than 90, it can't be divided, so we will use decimals. We will add 0 to the dividend, making 12 into 120 and adding a decimal point in the quotient place.

 

Step 3: Now that it is 120, we can divide it by 90. Let's see how many times 90 fits into 120.

 

Step 4: 120 is not a multiple of 90, so we will look for the nearest number that is 90 × 1 = 90. We will write 1 in the quotient place and subtract 90 from 120, giving 30.

 

Step 5: Bring down another 0 in the dividend place, making 30 into 300, and then repeat the division process. The division process continues, and we do not get a remainder of 0. This process results in a recurring decimal.

 

The answer for 12/90 as a decimal will be 0.1333...

Professor Greenline from BrightChamps

Important Glossaries for 12/90 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.
     
  • Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 12/90 as a Decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
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