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Last updated on May 26th, 2025

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4 2/15 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers, fractions, and decimals. A mixed number represents a whole number and a fraction. The fraction has two parts: the numerator (number on the top), here 2, which represents how many parts out of the whole, and the denominator (number below), here it is 15, which shows how many parts make the whole. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

4 2/15 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 4 2/15 as a decimal?

4 2/15 as a decimal

Answer

 

4 2/15 in decimals can be written as 4.1333… It is a recurring decimal, indicating that it will repeat some digits infinitely.

 

Explanation

 

To convert 4 2/15 into a decimal, we first convert the fraction 2/15 into a decimal and then combine it with the whole number. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the fraction part (2/15) of the mixed number.

 

Step 2: Divide the numerator (2) by the denominator (15) using the division method.

 

Step 3: 2 is smaller than 15, so we will add a decimal point in the quotient and a 0 to the 2, making it 20.

 

Step 4: 15 goes into 20 once. So, 1 is placed in the quotient, and we subtract 15 from 20, which gives us 5.

 

Step 5: Bring down another 0 to make it 50.

 

Step 6: 15 goes into 50 three times (3 times 15 is 45). We place 3 in the quotient, subtract 45 from 50, leaving 5.

 

Step 7: Repeat the process; bring down another 0 to make it 50 again, which results in 3 being repeated infinitely. Thus, the decimal for 2/15 is 0.1333...

 

Step 8: Add the decimal 0.1333... to the whole number 4, resulting in 4.1333...

 

Therefore, 4 2/15 as a decimal is 4.1333...

Professor Greenline from BrightChamps

Important Glossaries for 4 2/15 as a decimal

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

 

  • Fraction: A numerical quantity that represents 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.

 

  • Recurring Decimal: A decimal that repeats the same sequence of digits 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 2/15 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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