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Last updated on March 4th, 2025

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12 3/4 as a decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to learn fractions, whole numbers, and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top) and the denominator (number below). The numerator here is 3, which represents how many parts out of the whole. The denominator is 4, which shows how many parts make up the whole. A decimal is a way to represent numbers that are 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.

Professor Greenline from BrightChamps

What is 12 3/4 as a decimal?

12 3/4 as a decimalAnswer

 

12 3/4 in decimal form can be written as 12.75. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 12 3/4 into a decimal, we must first convert the fractional part 3/4 into a decimal and then add it to the whole number 12.

 

Step 1: Identify the whole number and the fraction. The whole number is 12, and the fraction is 3/4.

 

Step 2: To convert 3/4 into a decimal, divide the numerator (3) by the denominator (4).

 

Step 3: 3 divided by 4 equals 0.75.

 

Step 4: Add the decimal obtained from the fraction part to the whole number.

 

Step 5: Thus, 12 + 0.75 equals 12.75.

 

The answer for 12 3/4 as a decimal is 12.75.

Professor Greenline from BrightChamps

Important Glossaries for 12 3/4 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Whole Number: A number without fractions or decimals, representing complete units.
     
  • 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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