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Last updated on March 4th, 2025

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75/100 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 the whole. It has two parts: numerator (number on the top) here, 75 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction 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 75/100 as a decimal?

75/100 as a decimal

 

Answer

 

75/100 in decimals can be written as 0.75. It is a terminating decimal, indicating that it does not repeat infinitely.

 

Explanation

 

To get 75/100 in decimal, we will use the division method. Here is the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (75) will be taken as the dividend and the denominator (100) will be taken as the divisor.

 

Step 2: Since 75 is smaller than 100, the division will yield a number less than 1. We proceed by dividing 75 by 100 directly using long division or recognizing that dividing both by 100 gives us 0.75.

 

Step 3: The division yields 0.75, which is a terminating decimal since there is no remainder.

Professor Greenline from BrightChamps

Important Glossaries for 75/100 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.
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