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Last updated on May 26th, 2025

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-5 4/9 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number like -5 4/9 represents a whole number combined with a fraction. Here, -5 is the whole number, and 4/9 is the fractional part. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

-5 4/9 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is -5 4/9 as a decimal?

-5 4/9 as a decimal

 

Answer

 

-5 4/9 in decimals can be written as -5.4444….. It is a recurring decimal, indicating that the digit 4 will repeat infinitely.

 

Explanation

 

To convert -5 4/9 to a decimal, we will first convert the fractional part 4/9 into a decimal equivalent. Let's go through the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator of the fractional part. Here, the numerator (4) will be taken as the dividend, and the denominator (9) as the divisor.

 

Step 2: Since 4 is smaller than 9, we will use decimal division. Add a decimal point and a zero to the dividend, making it 40.

 

Step 3: Divide 40 by 9. The closest multiple of 9 is 36 (9 × 4), so write 4 in the quotient and subtract 36 from 40, leaving 4.

 

Step 4: Bring down another 0, making it 40 again, and repeat the division process.

 

Step 5: The division process continues with the remainder never reaching 0, resulting in a recurring decimal. Therefore, 4/9 as a decimal is 0.4444…, and when combined with the whole number part -5, the decimal representation is -5.4444….

Professor Greenline from BrightChamps

Important Glossaries for -5 4/9 as a decimal

  • Mixed Number: A number consisting of an integer and a proper fraction.
     
  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.
     
  • Dividend: The number that is being divided in a division operation.
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 -5 4/9 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!
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