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Last updated on May 26th, 2025

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17/18 as a Decimal

Professor Greenline Explaining Math Concepts

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 17, which represents how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole; here it is 18. 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.

17/18 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 17/18 as a decimal?

17/18 as a decimal

 

 

Answer

17/18 in decimals can be written as approximately 0.9444... It is a recurring decimal, indicating that it will repeat the digits infinitely.

 

Explanation

To convert 17/18 into a decimal, we will use the division method. Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (18) as the divisor.

 

Step 2: Perform the division of 17 by 18. Since 17 is smaller than 18, we use the decimal method by adding a decimal point and zero to the dividend, making it 170.

 

Step 3: Now that it is 170, divide it by 18. Determine how many times 18 can fit into 170.

 

Step 4: 18 fits into 170 a total of 9 times (18 × 9 = 162). Write 9 in the quotient place and subtract 162 from 170, giving a remainder of 8.

 

Step 5: Bring down another 0, making it 80, and repeat the division process. 18 goes into 80 four times (18 × 4 = 72), leaving a remainder of 8 again.

 

Step 6: Repeat the process by bringing down another 0. This cycle continues, and we see that the remainder does not become 0, resulting in a recurring decimal.

 

Therefore, the decimal representation of 17/18 is approximately 0.9444...

Professor Greenline from BrightChamps

Important Glossaries for 17/18 as a decimal

  • Fraction: A numerical representation of a part of a whole, expressed with a numerator and a denominator.

 

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

 

  • Numerator: The top part of a fraction, indicating the number of parts being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up the whole.

 

  • Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 17/18 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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