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Last updated on May 26th, 2025

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6/14 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 from the whole. It has two parts, numerator (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 14. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

6/14 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 6/14 as a decimal?

6/14 as a decimal

 

 

Answer

6/14 in decimals can be written as approximately 0.42857. It is a non-terminating, repeating decimal.

 

Explanation

To convert 6/14 into a decimal, we'll use the division method. We divide the numerator by the denominator. Let's see the step-by-step breakdown of the process.

 

Step 1: Identify the numerator and denominator. The numerator (6) will be taken as the dividend and the denominator (14) will be taken as the divisor.

 

Step 2: Divide 6 by 14. Since 6 is smaller than 14, the quotient will start with a 0, and we will use the decimal method.

 

Step 3: Add a decimal point and a zero to the dividend, making it 60.

 

Step 4: Determine how many times 14 fits into 60. It fits 4 times (14 × 4 = 56). Subtract 56 from 60 to get 4.

 

Step 5: Bring down another 0 to make it 40. Divide 40 by 14, which fits 2 times (14 × 2 = 28). Subtract 28 from 40 to get 12.

 

Step 6: Bring down another 0 to make it 120. Divide 120 by 14, which fits 8 times (14 × 8 = 112). Subtract 112 from 120 to get 8.

 

Step 7: This process continues.

 

The decimal representation of 6/14 is approximately 0.42857.

Professor Greenline from BrightChamps

Important Glossaries for 6/14 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 sequence of digits repeats indefinitely.
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 6/14 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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