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Last updated on March 3rd, 2025

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300/8 as a Decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) and the denominator (the number below). Here, 300 is the numerator, and 8 is the denominator, indicating that we are dividing 300 into 8 parts. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 300/8 as a decimal?

300/8 as a decimal

 

 

Answer

300/8 as a decimal can be written as 37.5. It is a terminating decimal, indicating that the division results in a finite number of digits after the decimal point.

 

Explanation

To convert 300/8 into a decimal, we will use the division method. Since 300 is larger than 8, we can directly divide it without initially using a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (300) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

 

Step 2: Divide 300 by 8. Let's see how many times 8 fits into 300.

 

Step 3: 8 goes into 30 three times (3 × 8 = 24), leaving a remainder of 6.

 

Step 4: Bring down the next digit (0) to make it 60. 8 goes into 60 seven times (7 × 8 = 56), leaving a remainder of 4.

 

Step 5: Bring down another 0 to make it 40. 8 goes into 40 five times (5 × 8 = 40), leaving no remainder.

 

The division process ends here with no remainder, and the answer for 300/8 as a decimal is 37.5.

Professor Greenline from BrightChamps

Important Glossaries for 300/8 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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