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Last updated on March 17th, 2025

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90/100 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 and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 90 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 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 90/100 as a decimal?

90/100 as a decimal

 

Answer

 

90/100 in decimals can be written as 0.9. It is a terminating decimal, indicating that it does not repeat the same digit infinitely.

 

Explanation

 

To convert 90/100 to a decimal, we will use the division method. Here, 90 is smaller than 100, so it will give us a decimal number. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (90) will be taken as the dividend and the denominator (100) will be taken as the divisor.

 

Step 2: Since 90 is smaller than 100, it can't be divided to give a whole number, so we place a decimal point in the quotient and add a zero to the dividend, making it 900.

 

Step 3: Now that it is 900, we divide it by 100. Let's see how many times 100 fits into 900.

 

Step 4: 100 goes into 900 exactly 9 times, as 100 × 9 = 900.

 

Step 5: Subtract 900 from 900 gives 0, indicating the division process is complete.

 

The answer for 90/100 as a decimal will be 0.9.

Professor Greenline from BrightChamps

Important Glossaries for 90/100 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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