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Last updated on March 11th, 2025

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36 3/40 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 from the whole. It has two parts, numerator (number on the top), here 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. 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 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 36 3/40 as a decimal?

36 3/40 as a decimal

Answer:

 

36 3/40 in decimals can be written as 36.075. This is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation:

 

To convert 36 3/40 to a decimal, we first convert the fractional part (3/40) to a decimal and then add it to the whole number (36). Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number (36) and the fraction (3/40).

 

Step 2: Convert the fraction to a decimal by dividing the numerator (3) by the denominator (40).

 

Step 3: 3 divided by 40 equals 0.075.

 

Step 4: Add this decimal to the whole number: 36 + 0.075.

 

The answer is 36.075, which is a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 36 3/40 as a decimal

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

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.

 

  • Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, indicating how many parts make up a whole.
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