Sure, let's convert the fraction [tex]\(\frac{27}{2}\)[/tex] into a decimal.
1. Identify the numerator and denominator:
- The numerator is [tex]\( 27 \)[/tex].
- The denominator is [tex]\( 2 \)[/tex].
2. Set up the division of the numerator by the denominator:
- We need to divide 27 by 2.
3. Perform the division:
- When we divide 27 by 2, we see how many times 2 goes into 27.
- 2 goes into 27 a total of 13 times, which gives us [tex]\( 2 \times 13 = 26 \)[/tex].
- After subtracting 26 from 27, we are left with a remainder of 1.
4. Convert the remainder into a decimal:
- Since we have a remainder, we will need to add a decimal point and continue the division.
- Bringing down a zero to the remainder of 1 makes it 10.
- Divide 10 by 2, which equals 5.
5. Combine the whole number and the decimal:
- Combining the whole number [tex]\( 13 \)[/tex] and the decimal [tex]\( .5 \)[/tex] gives [tex]\( 13.5 \)[/tex].
Therefore, the decimal representation of the fraction [tex]\(\frac{27}{2}\)[/tex] is:
[tex]\[
13.5
\][/tex]
