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Last updated on May 26th, 2025

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4 5/12 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: numerator (the number on the top) and denominator (the number below). The numerator represents how many parts out of the whole, and the denominator shows how many parts make the whole. A mixed number consists of a whole number and a fraction. A decimal is a way to represent numbers that are 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.

4 5/12 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 4 5/12 as a decimal?

4 5/12 as a decimal

Answer

 

4 5/12 in decimals can be written as 4.41666... It is a recurring decimal, meaning the fractional part will repeat the same digit infinitely.

 

Explanation

 

To convert 4 5/12 to a decimal, we will first convert the fraction 5/12 to a decimal and then add it to the whole number 4.

 

Step 1: Convert the fraction 5/12 to a decimal using division.

 

Step 2: The numerator (5) will be the dividend, and the denominator (12) will be the divisor.

 

Step 3: Perform the division 5 ÷ 12. Since 5 is smaller than 12, we add a decimal point and zeros to the dividend.

 

Step 4: 12 goes into 50 four times (12 × 4 = 48). Write 4 in the quotient place and subtract 48 from 50 to get 2.

 

Step 5: Bring down a 0, making it 20, and divide by 12 to get 1 (12 × 1 = 12). Subtract 12 from 20 to get 8.

 

Step 6: Bring down another 0 to make 80, and divide by 12 to get 6 (12 × 6 = 72). Subtract 72 from 80 to get 8.

 

Step 7: Continue this process as the remainder repeats, showing the decimal is recurring.

 

Finally, the decimal for 5/12 is approximately 0.41666..., and adding this to the whole number 4 gives 4.41666....

Professor Greenline from BrightChamps

Important Glossaries for 4 5/12 as a decimal

  • 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.
     
  • Mixed Number: A number consisting of a whole number and a fraction.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered
     
  • Recurring Decimal: A decimal in which a sequence of digits repeats 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 5/12 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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