BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon109 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

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 Qatari 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 Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 7 5/9 as a Decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom