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Last updated on May 26th, 2025

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3 4/5 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top) and the denominator (the number below). In a mixed number like 3 4/5, 3 is the whole number, 4 is the numerator, and 5 is the denominator. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

3 4/5 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 3 4/5 as a decimal?

3 4/5 as a decimal

 

Answer

 

3 4/5 in decimal form can be written as 3.8.

 

Explanation

 

To convert 3 4/5 to a decimal, we will first convert the fractional part (4/5) into a decimal and then add it to the whole number (3).

 

Step 1: Identify the whole number, numerator, and denominator from the mixed number. Here, 3 is the whole number, 4 is the numerator, and 5 is the denominator.

 

Step 2: Divide the numerator by the denominator to convert the fraction into a decimal. So, 4 divided by 5 gives us 0.8.

 

Step 3: Add the decimal result of the fraction to the whole number. Therefore, 3 + 0.8 = 3.8.

 

The answer for 3 4/5 as a decimal is 3.8.

Professor Greenline from BrightChamps

Important Glossaries for 3 4/5 as a decimal

  • Fraction: A numerical quantity representing a part of a whole, expressed as a numerator over a denominator.

 

  • Decimal: A base-ten number system that includes a decimal point to separate the whole number part from the fractional part.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up a whole. I hope this meets your needs!
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 3 4/5 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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