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Last updated on March 4th, 2025

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3 4/5 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 from the whole. It has two parts: the numerator (the number on the top) and the denominator (the number below). In a mixed number like 3 4/5, 3 is the whole number, 4 is the numerator, and 5 is the denominator. 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, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 3 4/5 as a decimal?

3 4/5 as a decimal

 

Answer

 

3 4/5 in decimal form can be written as 3.8.

 

Explanation

 

To convert 3 4/5 to a decimal, we will first convert the fractional part (4/5) into a decimal and then add it to the whole number (3).

 

Step 1: Identify the whole number, numerator, and denominator from the mixed number. Here, 3 is the whole number, 4 is the numerator, and 5 is the denominator.

 

Step 2: Divide the numerator by the denominator to convert the fraction into a decimal. So, 4 divided by 5 gives us 0.8.

 

Step 3: Add the decimal result of the fraction to the whole number. Therefore, 3 + 0.8 = 3.8.

 

The answer for 3 4/5 as a decimal is 3.8.

Professor Greenline from BrightChamps

Important Glossaries for 3 4/5 as a decimal

  • Fraction: A numerical quantity representing a part of a whole, expressed as a numerator over a denominator.

 

  • Decimal: A base-ten number system that includes a decimal point to separate the whole number part from the fractional part.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • 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. I hope this meets your needs!
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