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Last updated on March 13th, 2025

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4 13/16 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 of the whole. It has two parts: numerator (the number on the top) here, 13 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a 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 4 13/16 as a decimal?

4 13/16 as a decimal

Answer

 

4 13/16 in decimals can be written as 4.8125. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 4 13/16 to a decimal, we perform the division of 13 by 16 and add the result to the whole number 4. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number and the fraction. Here, 4 is the whole number, and 13/16 is the fraction.

 

Step 2: Convert the fraction 13/16 to a decimal by dividing 13 by 16.

 

Step 3: Perform the division: 13 ÷ 16 = 0.8125.

 

Step 4: Add this decimal to the whole number: 4 + 0.8125 = 4.8125.

 

Thus, 4 13/16 as a decimal will be 4.8125.

Professor Greenline from BrightChamps

Important Glossaries for 4 13/16 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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