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 Australian 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 7 5/9 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. 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