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Last updated on May 26th, 2025

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3 hours and 10 minutes as a decimal

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This is a simple question on converting time to a decimal. To do this, you need to understand how to express parts of an hour in decimal form. Time is usually given in hours and minutes, but when converting to a decimal, the minutes need to be expressed as a fraction of an hour. 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.

3 hours and 10 minutes as a decimal for Filipino Students
Professor Greenline from BrightChamps

What is 3 hours and 10 minutes as a decimal?

3 hours and 10 minutes as a decimalAnswer

 

3 hours and 10 minutes can be written as 3.16667. in decimal form. It is a recurring decimal, indicating that the digits repeat infinitely.

 

Explanation

 

To convert 3 hours and 10 minutes into a decimal, we first convert the minutes into a fraction of an hour. There are 60 minutes in an hour, so 10 minutes is 10/60 of an hour. Simplifying this fraction gives us 1/6. In decimal form, 1/6 is approximately 0.16667, which is a recurring decimal. Therefore, adding this to the whole hours, the total time in decimal form is 3 + 0.16667 = 3.16667. Let's see the Step-by-step Breakdown:

 

Step 1: Identify the total hours (3) and the additional minutes (10).

 

Step 2: Convert the minutes (10) into a fraction of an hour. Since there are 60 minutes in an hour, 10 minutes is 10/60, which simplifies to 1/6.

 

Step 3: Convert 1/6 to a decimal, which is approximately 0.16667 (recurring).

 

Step 4: Add the whole hours (3) to the decimal portion (0.16667) to get the total as 3.16667.

 

The answer for 3 hours and 10 minutes as a decimal is 3.16667.

Professor Greenline from BrightChamps

Important Glossaries for 3 hours and 10 minutes as a decimal

  • Hour: A unit of time equal to 60 minutes.
     
  • Minute: A unit of time equal to 1/60 of an hour.
     
  • Decimal: A number 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 represents part of a whole, expressed as a quotient of two numbers (numerator/denominator).
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 3 hours and 10 minutes as a decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every child’s math journey!
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