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Last updated on May 26th, 2025

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14/3 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 (the number on the top) here, 14 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent the number that is not whole, using 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.

14/3 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 14/3 as a decimal?

14/3 as a decimal

 

Answer

 

14/3 in decimals can be written as 4.66666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To get 14/3 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 (14) will be taken as the dividend and the denominator (3) will be taken as the divisor.

 

Step 2: Divide 14 by 3. Since 14 is greater than 3, we can proceed with the division.

 

Step 3: 3 goes into 14 four times (3 × 4 = 12), so we write 4 in the quotient place and subtract 12 from 14, leaving a remainder of 2.

 

Step 4: Bring down a 0 to make it 20. Divide 20 by 3, which goes 6 times (3 × 6 = 18), so write 6 in the quotient place and subtract 18 from 20, leaving a remainder of 2.

 

Step 5: Repeat the process by bringing down another 0, making it 20, and divide by 3 again. The division process continues without the remainder becoming 0, creating a recurring decimal.

 

The answer for 14/3 as a decimal is 4.6666....

Professor Greenline from BrightChamps

Important Glossaries for 14/3 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.
     
  • Recurring Decimal: A decimal number that has digits repeating infinitely after the decimal point.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Divisor: The number by which another number (the dividend) is divided.
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 14/3 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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