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Last updated on March 3rd, 2025

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37/40 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
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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 a whole. It has two parts: the numerator (the number on top) here, 37 represents how many parts out of the whole. The denominator (the 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 37/40 as a decimal?

37/40 as a decimal

Answer

 

37/40 in decimals can be written as 0.925. It is a terminating decimal, which means it does not repeat infinitely.

 

Explanation

 

To get 37/40 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend, and the denominator (40) will be taken as the divisor.

 

Step 2: Perform the division of 37 by 40. As 37 is smaller than 40, we will add a decimal point in the quotient place and then consider it as 370.

 

Step 3: Divide 370 by 40. The nearest whole number is 9 because 40 × 9 = 360.

 

Step 4: Subtract 360 from 370, which gives us a remainder of 10.

 

Step 5: Bring down another 0 in the dividend place, making it 100, and continue the division process.

 

Step 6: 40 goes into 100 two times (40 × 2 = 80). Subtract 80 from 100, which gives us a remainder of 20.

 

Step 7: Bring down another 0, making it 200. Divide 200 by 40, which goes five times (40 × 5 = 200). This gives us a remainder of 0, and the process ends here.

 

The answer for 37/40 as a decimal will be 0.925.

Professor Greenline from BrightChamps

Important Glossaries for 37/40 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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