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Last updated on May 26th, 2025

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29/6 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question about decimal conversion. First, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), in this case, 29, which shows how many parts are being considered, and the denominator (the number below), which is 6, indicating how many parts make up the whole. 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 part, and those to the right represent the fractional part.

29/6 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 29/6 as a decimal?

29/6 as a decimal

 

Answer

 

29/6 in decimals can be written as 4.8333... It is a recurring decimal, showing that it will repeat the same digit infinitely.

 

Explanation

 

To convert 29/6 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (29) will be taken as the dividend and the denominator (6) will be taken as the divisor.

 

Step 2: Divide 29 by 6. It goes 4 times, as 6 × 4 = 24. Subtract 24 from 29 to get a remainder of 5.

 

Step 3: Bring down a 0 to make it 50. Divide 50 by 6, which goes 8 times as 6 × 8 = 48. Subtract 48 from 50 to get a remainder of 2.

 

Step 4: Bring down another 0 to make it 20. Divide 20 by 6, which goes 3 times as 6 × 3 = 18. Subtract 18 from 20 to get a remainder of 2.

 

Step 5: Continue the process as described in Step 4, and you will see the decimal repeats. The division process continues, and since we don't get the remainder as 0, this process results in a recurring decimal.

 

The answer for 29/6 as a decimal is 4.8333...

Professor Greenline from BrightChamps

Important Glossaries for 29/6 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.

 

  • 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.

 

  • Recurring Decimal: A decimal in which a digit or group of digits repeats 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 29/6 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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