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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 UK 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 United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the 7 5/9 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math journey!
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