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Last updated on May 26th, 2025

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5 hours and 40 minutes as a decimal

Professor Greenline Explaining Math Concepts

This is a simple question about converting time into a decimal. First, we need to understand how to represent time in hours and minutes. An hour is a standard unit of time, and a minute is a smaller unit of time within an hour. There are 60 minutes in one hour. A decimal representation of time allows us to express a portion of an hour as a decimal number. The whole number part represents the complete hours, and the decimal part represents the fraction of an hour.

5 hours and 40 minutes as a decimal for UK Students
Professor Greenline from BrightChamps

What is 5 hours and 40 minutes as a decimal?

5 hours and 40 minutes as a decimal

Answer

 

5 hours and 40 minutes as a decimal can be written as 5.6666… It is a recurring decimal, indicating that the fraction of hours will repeat the same digit infinitely.

 

Explanation

 

To convert 5 hours and 40 minutes into a decimal, we'll use division. Since there are 60 minutes in an hour, 40 minutes is a fraction of an hour. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the total hours and minutes. We have 5 hours and 40 minutes.

 

Step 2: Convert the minutes to a fraction of an hour. Since there are 60 minutes in an hour, the fraction is 40/60.

 

Step 3: Simplify the fraction 40/60 to 2/3.

 

Step 4: Convert the fraction 2/3 into a decimal by dividing 2 by 3, which gives us 0.6666...

 

Step 5: Add this decimal to the whole hours: 5 + 0.6666... = 5.6666...

 

This process shows that 5 hours and 40 minutes as a decimal is 5.6666...

Professor Greenline from BrightChamps

Important Glossaries for 5 hours and 40 minutes as a decimal

  • Hour: A unit of time equal to 60 minutes.

 

  • Minute: A unit of time equal to 1/60th of an hour.

 

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

 

  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.

 

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
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 5 hours and 40 minutes 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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