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Last updated on August 5, 2025

5 3/5 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 5 3/5 as a decimal?

5 3/5 as a decimal

Answer

 

5 3/5 in decimals can be written as 5.6. It is a terminating decimal, showing it ends without repeating.

 

Explanation

 

To get 5 3/5 in decimal, we will first convert the fraction 3/5 to a decimal and then add it to the whole number 5. Let’s see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number and the fraction. The whole number here is 5, and the fraction is 3/5.

 

Step 2: Convert the fraction 3/5 to a decimal by division.

 

Step 3: Divide the numerator 3 by the denominator 5.

 

Step 4: 5 goes into 30 six times, as 5 × 6 = 30. Thus, 3/5 as a decimal is 0.6.

 

Step 5: Add the decimal 0.6 to the whole number 5, resulting in 5.6.

 

The answer for 5 3/5 as a decimal is 5.6.

Professor Greenline from BrightChamps

Important Glossaries for 5 3/5 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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