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Last updated on March 3rd, 2025

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4/5 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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, 4 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 5. 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 4/5 as a decimal?

4/5 as a decimal

 

Answer

 

4/5 in decimals can be written as 0.8. It is a terminating decimal, meaning it has a finite number of digits after the decimal point.

 

Explanation

 

To get 4/5 in decimal, we will use the division method. Here, as 4 is smaller than 5, we will take the help of the decimal method which will give us 0.8.

 

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

 

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (5) will be the divisor.

 

Step 2: As 4 is smaller than 5, it can't be divided by 5 without using decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

 

Step 3: Now that it is 40, we can divide it by 5. Let's see how many times 5 fits into 40.

 

Step 4:

40 is a multiple of 5, specifically 5 × 8 = 40. We will write 8 in the quotient place, and subtract 40 from 40 gives 0.

 

Step 5: Since the remainder is 0, the division process stops here.

 

The answer for 4/5 as a decimal will be 0.8.

Professor Greenline from BrightChamps

Important Glossaries for 4/5 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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