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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 Omani 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 Oman

At BrightChamps, math questions are more than numbers—they’re keys to countless opportunities! We help children across Oman develop vital skills, such as today’s focus on the 2 4/7 as a Decimal with special attention to decimal conversions—in a fun, lively, and simple way. Whether your child is figuring out the speed of a roller coaster at Oman’s Dreamland Aqua Park, tracking scores at a local football match, or managing their allowance for gadgets, mastering math gives them the confidence to handle everyday situations. Our lessons are designed to be both engaging and easy to follow. Because kids in Oman learn in different ways, we tailor our approach to meet each child’s needs. From the vibrant city of Muscat to Oman’s natural beauty, BrightChamps makes math relatable and exciting throughout Oman. Let’s make decimal conversions a fun part of every child’s math journey!
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