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Last updated on August 5, 2025

2 4/7 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question about converting a mixed number to a decimal. To do this, we need to understand fractions, mixed numbers, and decimals. A fraction represents a part of a whole, with a numerator (the top number) showing how many parts we have and a denominator (the bottom number) indicating how many parts make up the whole. A mixed number includes a whole part and a fractional part. A decimal is a way to represent non-whole numbers using a decimal point to separate the whole part from the fractional part.

2 4/7 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 2 4/7 as a decimal?

2 4/7 as a decimal

Answer

 

2 4/7 as a decimal is approximately 2.57142857. The decimal representation is non-terminating and repeating.

 

Explanation

 

To convert 2 4/7 to a decimal, we first need to convert the fraction 4/7 to a decimal and then add it to the whole number 2. Let's break down the process:

 

Step 1: Identify the whole number (2) and the fraction (4/7).

 

Step 2: Convert the fraction 4/7 to a decimal using division. Divide 4 by 7.

 

Step 3: Since 4 is smaller than 7, we'll use the decimal method. By adding a decimal point and zeroes, we can divide 4.000000 by 7.

 

Step 4: Perform the division. 7 goes into 40 five times, which gives 35. Subtract 35 from 40, leaving a remainder of 5.

 

Step 5: Bring down a 0, making it 50. Divide 50 by 7, which goes seven times, giving 49. Subtract to get a remainder of 1.

 

Step 6: Repeat the process, bringing down zeroes, and you will see the sequence 571428 repeating.

 

Step 7: Add the decimal 0.57142857... to the whole number 2 to get approximately 2.57142857.

Professor Greenline from BrightChamps

Important Glossaries for 2 4/7 as a decimal

  • Fraction: A numerical quantity that represents a part of a whole, with a numerator and a denominator.
     
  • Decimal: A number expressed using the base ten, with a decimal point separating the whole part from the fractional part.
     
  • Mixed Number: A number that includes both a whole part and a fractional part.
     
  • Numerator: The top part of a fraction, indicating how many parts are being considered.
     
  • Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
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