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Last updated on March 13th, 2025

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9/17 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: the numerator (number on the top) here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 17. A decimal is a way to represent the 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 9/17 as a decimal?

9/17 as a decimal

Answer

 

9/17 in decimals can be written as approximately 0.5294117647. It is a non-recurring, non-terminating decimal.

 

Explanation

 

To get 9/17 in decimal, we will use the division method. Here, 9 is smaller than 17, so we will use the decimal method to get the result. Let's see the step-by-step breakdown of the process.

 

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend, and the denominator (17) will be taken as the divisor.

 

Step 2: As 9 is smaller than 17, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 9 as 90, and add a decimal point in the quotient place.

 

Step 3: Now that it is 90, we can divide it by 17. Let's see how many times 17 fits into 90.

 

Step 4: 17 goes into 90 five times since 17 × 5 = 85.

 

Step 5: Subtract 85 from 90, which gives 5. Bring down another 0, making 50, and continue the division process.

 

Step 6: Repeat the division by 17. The process continues as the remainder does not become 0, and the division results in a non-recurring, non-terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 9/17 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.
     
  • Non-terminating Decimal: A decimal representation that continues infinitely without repeating a pattern.
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