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Last updated on May 26th, 2025

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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 Saudi 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.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 2 4/7 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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