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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 UK 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 United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the 4 2/15 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math journey!
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