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Last updated on August 5, 2025

17/20 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 17/20 as a decimal?

17/20 as a decimalAnswer

 

17/20 in decimal form is 0.85. It is a terminating decimal, which means it does not repeat infinitely.

 

Explanation

 

To convert 17/20 to a decimal, we will use the division method. Since 17 is smaller than 20, we will use the decimal method to obtain the result:

 

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend, and the denominator (20) will be taken as the divisor.

 

Step 2: As 17 is smaller than 20, we will take the help of decimals. We will add 0 to the dividend, making 17 into 170, and add a decimal point in the quotient place.

 

Step 3: Now that it is 170, we can divide it by 20. Let's see how many times 20 fits into 170.

 

Step 4: 20 goes into 170 exactly 8 times because 20 × 8 = 160. We will write 8 in the quotient place and subtract 160 from 170, which gives us 10.

 

Step 5: Bring down another 0 in the dividend place, making it 100, and repeat the division process. 20 goes into 100 exactly 5 times because 20 × 5 = 100. With this process, the remainder becomes 0, indicating the decimal terminates.

 

The answer for 17/20 as a decimal is 0.85.

Professor Greenline from BrightChamps

Important Glossaries for 17/20 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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