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Last updated on August 5, 2025

6/48 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 6/48 as a decimal?

6/48 as a decimal

 

Answer

 

6/48 in decimals can be written as 0.125. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 6/48 into a decimal, we will use the division method. Here, as 6 is smaller than 48, we will take the help of the decimal method, which will give us 0.125.

 

Let's see the step-by-step breakdown of the process.

 

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (48) will be taken as the divisor.

 

Step 2: As 6 is smaller than 48, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making it a multiple of 10, and add a decimal point in the quotient place.

 

Step 3: Now that it is 60, we can divide it by 48. Let's see how many times 48 fits into 60.

 

Step 4: 48 goes into 60 once, so we write 1 in the quotient place and subtract 48 from 60, which gives 12.

 

Step 5: Bring down another 0 in the dividend place, making it 120, and then repeat the division process.

 

Step 6: 48 goes into 120 twice, so we write 2 in the quotient place and subtract 96 from 120, which gives 24.

 

Step 7: Bring down another 0, making it 240, and repeat the division.

 

Step 8: 48 goes into 240 five times exactly, so we write 5 in the quotient place, and the division is complete.

 

The answer for 6/48 as a decimal will be 0.125.

Professor Greenline from BrightChamps

Important Glossaries for 6/48 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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