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Last updated on May 26th, 2025

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7 5/9 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question about decimal conversion. Firstly, we need to understand fractions and decimals. A mixed number, like 7 5/9, represents a whole number combined with a fraction. The fraction has two parts: the numerator (top number), which here is 5, representing how many parts of the whole are considered, and the denominator (bottom number), which is 9, showing how many parts make up a whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole number from the fractional part. Numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

7 5/9 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 7 5/9 as a decimal?

7 5/9 as a decimal

 

Answer

 

7 5/9 as a decimal can be written as 7.55555… It is a recurring decimal, meaning it will repeat the same digit infinitely.

 

Explanation

 

To convert 7 5/9 to a decimal, we first convert the fraction 5/9 to a decimal. Let's break down the process:

 

Step 1: Identify the numerator (5) and denominator (9). The numerator is the dividend, and the denominator is the divisor.

 

Step 2: Perform the division 5 ÷ 9, which is less than 1. We introduce a decimal point and continue the division.

 

Step 3: Since 5 is smaller than 9, we add a 0 to make it 50.

 

Step 4: 9 goes into 50 five times (9 × 5 = 45), leaving a remainder of 5.

 

Step 5: Bring down another 0, making it 50 again, and repeat the division. This division process continues indefinitely, so 5/9 as a decimal is 0.5555…

 

Step 6: Add the whole number 7 to the fractional decimal part 0.5555…

 

The answer for 7 5/9 as a decimal is 7.5555…

Professor Greenline from BrightChamps

Important Glossaries for 7 5/9 as a decimal

  • Mixed Number: A number that combines a whole number and a fraction.
     
  • Fraction: A numerical representation of a part of a whole.
     
  • Decimal: A number expressed in the base ten system, using a decimal point to separate whole and fractional parts.
     
  • Recurring Decimal: A decimal fraction that repeats the same sequence of digits indefinitely.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
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 7 5/9 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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