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Last updated on August 5, 2025

17/15 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 17/15 as a decimal?

17/15 as a decimalAnswer

 

17/15 in decimals can be written as 1.1333. It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To get 17/15 in decimal, we will use the division method. As 17 is greater than 15, we can divide directly. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (15) will be taken as the divisor.

 

Step 2: Divide 17 by 15. The whole number part of the quotient is 1.

 

Step 3: Subtract 15 from 17, which gives a remainder of 2.

 

Step 4: Bring down a 0 to make it 20. Divide 20 by 15, which gives 1 in the quotient place and a remainder of 5.

 

Step 5: Bring down another 0 to make it 50. Divide 50 by 15, which gives 3 in the quotient place and a remainder of 5.

 

Step 6: Repeat the division process since the remainder is not 0, resulting in a recurring decimal.

 

The answer for 17/15 as a decimal will be 1.1333.

Professor Greenline from BrightChamps

Important Glossaries for 17/15 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.
     
  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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