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Last updated on May 26th, 2025

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17/150 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, and the denominator (number below), here 150, which shows how many parts make the whole. 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.

17/150 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 17/150 as a decimal?

17/150 as a decimal

Answer

 

17/150 in decimals can be written as 0.1133… It is a recurring decimal, showing it will eventually repeat the same digit infinitely.

 

Explanation

 

To get 17/150 in decimal, we will use the division method. Since 17 is smaller than 150, we will use the decimal method, which will give us 0.1133. 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 (150) will be taken as the divisor.

 

Step 2: As 17 is smaller than 150, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 170, and add a decimal point in the quotient place.

 

Step 3: Now that it is 170, we can divide it by 150. Let's see how many times 150 fits into 170.

 

Step 4: 170 divided by 150 gives 1, with a remainder. We will write 1 in the quotient place and subtract 150 from 170, which gives 20.

 

Step 5: Bring down another 0 in the dividend place and make it 200, then continue the division process. The division process continues, and we find that the decimal eventually repeats. This process results in a recurring decimal.

 

The answer for 17/150 as a decimal will be 0.1133…

Professor Greenline from BrightChamps

Important Glossaries for 17/150 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.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the 17/150 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math journey!
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