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Last updated on March 2nd, 2025

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3 1/4 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts, the numerator (number on the top) here, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. A mixed number like 3 1/4 has a whole number and a fractional part. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 3 1/4 as a decimal?

3 1/4 as a decimal

 

 

 

 

Answer

3 1/4 in decimals can be written as 3.25. This is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

To convert 3 1/4 to a decimal, we need to convert the fractional part (1/4) to a decimal and then add it to the whole number part.

 

Step 1: Identify the whole number, numerator, and denominator. Here, the whole number is 3, the numerator is 1, and the denominator is 4.

 

Step 2: Convert the fraction 1/4 to a decimal.

 

Step 3: Divide the numerator (1) by the denominator (4).

 

Step 4: 1 divided by 4 equals 0.25.

 

Step 5: Add the decimal result to the whole number: 3 + 0.25 = 3.25.

 

Thus, 3 1/4 as a decimal is 3.25.

Professor Greenline from BrightChamps

Important Glossaries for 3 1/4 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.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • 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.
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