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Last updated on May 26th, 2025

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29/4 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 29, which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole, here it is 4. 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 number, and those to the right represent the fractional part.

29/4 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 29/4 as a decimal?

29/4 as a decimal

Answer

 

29/4 in decimal form can be written as 7.25. This is a terminating decimal, meaning it has a finite number of decimal places.

 

Explanation

 

To convert 29/4 into a decimal, we use division. Here, 29 is larger than 4, so we can divide directly. 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 (4) will be the divisor.

 

Step 2: Divide 29 by 4. 4 goes into 29 seven times (4 × 7 = 28).

 

Step 3: Write 7 in the quotient place and subtract 28 from 29, leaving a remainder of 1.

 

Step 4: Bring down a 0 to make the remainder 10 and continue the division.

 

Step 5: 4 goes into 10 two times (4 × 2 = 8). Write 2 in the quotient after the decimal point and subtract 8 from 10, leaving a remainder of 2.

 

Step 6: Bring down another 0 to make the remainder 20 and divide again.

 

Step 7: 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient and subtract 20 from 20, leaving a remainder of 0. Since the remainder is 0, the process stops here.

 

The answer for 29/4 as a decimal is 7.25.

Professor Greenline from BrightChamps

Important Glossaries for 29/4 as a decimal

  • Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.
     
  • 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat 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 29/4 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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