BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon117 Learners

Last updated on March 27th, 2025

Math Whiteboard Illustration

12 14/15 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, numerator (number on the top) here, 14 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 15. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 14/15 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 12 14/15 as a decimal?

 

12 14/15 as a decimal

Answer

 

12 14/15 in decimals can be written as 12.9333... It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To convert 12 14/15 to a decimal, we will use the division method for the fractional part. The whole number 12 remains the same. Let's see the step-by-step breakdown of the process.

 

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (15) will be taken as the divisor.

 

Step 2: Since 14 is smaller than 15, it can't be divided evenly. We will use decimals to proceed. Add a decimal point in the quotient and a 0 to the dividend, making it 140.

 

Step 3: Now divide 140 by 15. Determine how many times 15 fits into 140, which is 9 times, as 15 × 9 = 135.

 

Step 4: Write 9 in the quotient place, and subtract 135 from 140, giving a remainder of 5.

 

Step 5: Bring down another 0 to the dividend, making it 50, and repeat the division process. 15 fits into 50 three times, as 15 × 3 = 45.

 

Step 6: Subtract 45 from 50 to get a remainder of 5. The process continues with the same pattern, indicating a recurring decimal.

 

Therefore, 12 14/15 as a decimal is 12.9333...

Professor Greenline from BrightChamps

Important Glossaries for 12 14/15 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 in which one or more digits repeat infinitely.
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 12 14/15 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!
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