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Last updated on March 3rd, 2025

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37/50 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, the numerator (number on the top) here, 37 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 50. 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 37/50 as a decimal?

37/50 as a decimalAnswer

 

37/50 in decimals can be written as 0.74. It is a terminating decimal, showing it ends after two decimal places.

 

Explanation

 

To get 37/50 in decimal, we will use the division method. Here, since 37 is smaller than 50, the process will involve using decimal places to find the exact decimal representation. 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 (50) will be taken as the divisor.

 

Step 2:As 37 is smaller than 50, it can't be divided directly, so we will add a decimal point and a zero to the dividend, making it 370, and place a decimal point in the quotient.

 

Step 3: Now that it is 370, we can divide it by 50. Let's see how many times 50 fits into 370.

 

Step 4: 50 goes into 370 seven times (50 × 7 = 350). We write 7 in the quotient place and subtract 350 from 370, which gives 20.

 

Step 5: Bring down another 0 in the dividend place, making it 200, and continue the division process.

 

Step 6: 50 goes into 200 four times (50 × 4 = 200), which subtracts perfectly with no remainder.

 

The answer for 37/50 as a decimal will be 0.74, which is a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 37/50 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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