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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two components: the numerator (number on the top), here 24, which indicates how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 7. 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.
24/7 in decimals can be written as approximately 3.4286. This is a non-terminating, non-repeating decimal.
To convert 24/7 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator, where 24 is the dividend (numerator) and 7 is the divisor (denominator).
Step 2: Perform the division: 24 divided by 7.
Step 3: 7 goes into 24 three times (3 × 7 = 21), leaving a remainder of 3.
Step 4: Bring down a 0 to make the remainder 30.
Step 5: 7 goes into 30 four times (4 × 7 = 28), leaving a remainder of 2.
Step 6: Bring down another 0 to make the remainder 20.
Step 7: 7 goes into 20 two times (2 × 7 = 14), leaving a remainder of 6.
Step 8: Bring down another 0 to make the remainder 60. Repeat this process to continue dividing. The division process continues, giving a non-terminating decimal.
The answer for 24/7 as a decimal will be approximately 3.4286.