192 divided by 2304
The Correct Answer and Explanation is:
To solve the problem of 192 divided by 2304, we can proceed with basic division.
Step 1: Set up the division
We are asked to divide 192 by 2304. This can be written as:192÷2304192 \div 2304192÷2304
Step 2: Simplify the fraction
This division can also be expressed as a fraction:1922304\frac{192}{2304}2304192
Both the numerator (192) and the denominator (2304) are divisible by 192. Let’s divide both by 192 to simplify the fraction:192÷1922304÷192=112\frac{192 \div 192}{2304 \div 192} = \frac{1}{12}2304÷192192÷192=121
Step 3: Convert the fraction to decimal form
The simplified fraction is 112\frac{1}{12}121, and we can convert this into decimal form by dividing 1 by 12. Performing the division gives:1÷12=0.08333‾1 \div 12 = 0.0833\overline{3}1÷12=0.08333
So, the result of 192 divided by 2304 is approximately 0.0833, with the digit 3 repeating.
Step 4: Interpretation of the result
The decimal value 0.0833 repeating means that the result of the division is a recurring decimal, often written as 0.0833 with the line over the 3 to indicate the repetition. The value 0.0833 is the same as saying “one-twelfth” of 1.
Conclusion:
The exact result of 192 divided by 2304 is 112\frac{1}{12}121, which equals approximately 0.0833 when expressed as a decimal. This means that 192 is one-twelfth of 2304.
