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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 US 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....

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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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 14/3 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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