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Last updated on August 5, 2025

4 5/8 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 4 5/8 as a decimal?

4 5/8 as a decimalAnswer

 

4 5/8 as a decimal can be written as 4.625. This is a terminating decimal because it does not repeat infinitely.

 

Explanation

 

To convert 4 5/8 into a decimal, we will convert the fractional part 5/8 into a decimal and then add it to the whole number 4. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator of the fraction 5/8. Here, 5 is the numerator, and 8 is the denominator.

 

Step 2: Divide the numerator by the denominator to convert the fraction to a decimal.

 

Step 3: 5 divided by 8 gives 0.625.

 

Step 4: Add this decimal to the whole number 4.

 

Step 5: Therefore, 4 + 0.625 equals 4.625.

 

The answer for 4 5/8 as a decimal is 4.625.

Professor Greenline from BrightChamps

Important Glossaries for 4 5/8 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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