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Last updated on March 3rd, 2025

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33/25 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top), here 33, representing how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 25. 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.

33/25 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 33/25 as a decimal?

33/25 as a decimal

 

 

Answer

33/25 in decimals can be written as 1.32. It is a terminating decimal, which means it does not repeat infinitely.

 

Explanation

To convert 33/25 into a decimal, we will use the division method. Here, since 33 is larger than 25, we will directly divide. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (33) will be taken as the dividend and the denominator (25) will be taken as the divisor.

 

Step 2: Divide 33 by 25. Since 33 is larger than 25, we do not need to use additional decimal points initially.

 

Step 3: Calculate how many times 25 fits into 33. The answer is 1 whole time, so we write 1 in the quotient place.

 

Step 4: Subtract 25 from 33, which gives us a remainder of 8.

 

Step 5: Bring down a 0 to make the remainder 80. Divide 80 by 25, which goes 3 times, so write 3 in the quotient place after the decimal point.

 

Step 6: Subtract 75 (3 times 25) from 80, leaving a remainder of 5.

 

Step 7: Bring down another 0 to make it 50, divide by 25, and it goes 2 times exactly, leaving no remainder.

 

The answer for 33/25 as a decimal is 1.32.

Professor Greenline from BrightChamps

Important Glossaries for 33/25 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.

 

  • 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 33/25 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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