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Last updated on March 13th, 2025

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49 minutes as a Decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to understand time conversion and decimals. Time is often represented in hours and minutes. There are 60 minutes in an hour, and a decimal is a way to represent numbers using a point (.) to separate whole numbers from fractional parts. The numbers to the left of the decimal point represent the whole, while those to the right represent fractions of the whole.

Professor Greenline from BrightChamps

What is 49 minutes as a decimal?

49 minutes as a decimal

Answer

 

49 minutes as a decimal can be written as 0.81666... It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 49 minutes into a decimal, we will use division. Since there are 60 minutes in an hour, we divide 49 by 60. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the number of minutes (49) to be converted and the total number of minutes in an hour (60).

 

Step 2: As 49 is less than 60, it can't be divided to give a whole number, so we will add a decimal point in the quotient place to continue the division.

 

Step 3: Divide 49 by 60. Since 49 is less than 60, think of it as 490 (by adding a decimal and a zero) divided by 60.

 

Step 4: See how many times 60 can fit into 490. The nearest is 60 × 8 = 480.

 

Step 5: Write 8 in the quotient place and subtract 480 from 490 to get 10.

 

Step 6: Bring down another 0, making it 100, and repeat the process. The division process continues, and the remainder does not become zero, indicating a recurring decimal.

 

The answer for 49 minutes as a decimal will be 0.81666...

Professor Greenline from BrightChamps

Important Glossaries for 49 Minutes as a Decimal

  • Time Conversion: The process of converting time from one unit to another, such as minutes to hours.
     
  • 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 that repeats the same digit or group of digits infinitely.
     
  • Division: A mathematical operation where a number is divided by another number to find how many times the divisor fits into the dividend.
     
  • Quotient: The result obtained by dividing one quantity by another.
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