Table Of Contents
Last updated on March 13th, 2025
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.
49 minutes as a decimal can be written as 0.81666... It is a recurring decimal, indicating it will repeat the same digit infinitely.
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...