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Last updated on May 26th, 2025

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4 13/20 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 of the whole. It has two parts: numerator (number on the top) here, 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.

4 13/20 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 4 13/20 as a decimal?

4 13/20 as a decimal

Answer

 

4 13/20 in decimals can be written as 4.65. It is a terminating decimal, meaning it ends without repeating.

 

Explanation

 

To get 4 13/20 in decimal, we will convert the fractional part 13/20 into a decimal and then add it to the whole number 4. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (20) will be taken as the divisor.

 

Step 2: Perform the division 13 ÷ 20 to convert the fraction into a decimal.

 

Step 3: Since 13 is smaller than 20, we add a decimal point and zero to the dividend, making it 130.

 

Step 4: Divide 130 by 20, which results in 6 with a remainder of 10.

 

Step 5: Bring down another 0 to make it 100, and divide by 20, which results in 5 with a remainder of 0.

 

Step 6: Since there is no remainder, the decimal conversion for 13/20 is 0.65.

 

Step 7: Add this decimal to the whole number part, resulting in 4.65.

Professor Greenline from BrightChamps

Important Glossaries for 4 13/20 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.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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 4 13/20 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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