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Last updated on March 13th, 2025

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12/45 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 of the whole. It has two parts: the numerator (the number on the top), here 12, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 45. 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, and those to the right represent the fractional part.

12/45 as a Decimal for Indian Students
Professor Greenline from BrightChamps

What is 12/45 as a decimal?

12/45 as a decimalAnswer

 

12/45 in decimals can be written as 0.2666..... It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 12/45 into a decimal, we will use the division method. Let's see a step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator, because the numerator (12) will be taken as the dividend and the denominator (45) will be taken as the divisor.

 

Step 2: As 12 is smaller than 45, it can't be divided directly. We will use the decimal method, adding a decimal point in the quotient place and adding zeros to the dividend.

 

Step 3: Now, treat it as 120 divided by 45. Determine how many times 45 goes into 120.

 

Step 4: 45 goes into 120 twice (2 × 45 = 90). Write 2 in the quotient place, subtract 90 from 120, leaving 30.

 

Step 5: Bring down a 0 to make it 300. Divide 300 by 45, giving 6 (6 × 45 = 270). Write 6 in the quotient, subtract 270 from 300, leaving 30.

 

Step 6: Repeat the process by bringing down another 0, and dividing again, continuing the recurring sequence.

 

The answer for 12/45 as a decimal will be 0.2666......

Professor Greenline from BrightChamps

Important Glossaries for 12/45 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 sequence of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in India

At BrightChamps, we understand math questions go beyond just calculations—they open doors to countless opportunities! Our goal is to assist children across India in mastering important skills like today’s focus on the 12/45 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a train, following scores in a cricket match, or managing their pocket money for the latest gadgets, good math skills build their confidence for daily challenges. Our interactive lessons make learning fun and simple. Since children in India learn in varied ways, we adapt our teaching to fit each child’s unique style. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relevant and exciting all over India. Let’s make decimal conversions a fun part of every child’s math journey!
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