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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 Australian 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 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 29/4 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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