What is 27/2 as a decimal?
Understand the Problem
The question is asking for the decimal representation of the fraction 27/2. This involves performing the division of 27 by 2.
Answer
The decimal representation of the fraction \( \frac{27}{2} \) is \( 13.5 \).
Answer for screen readers
The decimal representation of the fraction ( \frac{27}{2} ) is ( 13.5 ).
Steps to Solve
- Set up the division We need to divide 27 by 2. This can be written as:
$$ 27 \div 2 $$
- Perform the division When we divide 27 by 2, we can determine how many times 2 fits into 27.
2 goes into 27 a total of 13 times. To find the remainder, we calculate:
$$ 27 - (2 \times 13) = 27 - 26 = 1 $$
- Convert the remainder Since we have a remainder of 1, we need to express this in decimal form. We can add a decimal point and a zero, making it 10. So, now we divide again:
$$ 10 \div 2 $$
2 goes into 10 exactly 5 times with no remainder.
- Write the final result Now, we combine the whole number part and the decimal part. The result of the division is:
$$ 27 \div 2 = 13.5 $$
The decimal representation of the fraction ( \frac{27}{2} ) is ( 13.5 ).
More Information
The division of 27 by 2 gives us a mixed number, and converting it to decimal form helps us interpret it in terms of volume, length, etc. For example, if 27 units are split into 2 equal parts, each part will be 13.5 units.
Tips
- Ignoring the remainder in decimal division: Always remember to address the remainder by converting it to a decimal.
- Confusing whole number and decimal form: Ensure you keep track of the whole number and how the decimal develops from remainders.
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