Answer :
To convert [tex]\( \frac{15}{9} \)[/tex] to a decimal, you can divide 15 by 9. Here's how you can do it step-by-step:
1. Divide 15 by 9:
- Start by seeing how many times 9 goes into 15. It goes once, because [tex]\( 9 \times 1 = 9 \)[/tex].
- Subtract 9 from 15, you get 6. Now bring down a zero to make it 60.
2. Continue dividing:
- Next, see how many times 9 goes into 60. It goes 6 times, because [tex]\( 9 \times 6 = 54 \)[/tex].
- Subtract 54 from 60, you get 6 again. Bring down another zero to make it 60.
3. Repeat the process:
- You'll notice that you'll keep getting 6, and each time you bring down a zero to make it 60 again, it still goes 6 times. This pattern repeats indefinitely.
Therefore, the decimal form of [tex]\( \frac{15}{9} \)[/tex] is 1.666..., which continues indefinitely.
Since you need to choose from the options provided:
A. 1.64
B. 1.67
C. 1.66
D. 1.69
The closest approximation to the repeating decimal 1.666... is option C, 1.66.
1. Divide 15 by 9:
- Start by seeing how many times 9 goes into 15. It goes once, because [tex]\( 9 \times 1 = 9 \)[/tex].
- Subtract 9 from 15, you get 6. Now bring down a zero to make it 60.
2. Continue dividing:
- Next, see how many times 9 goes into 60. It goes 6 times, because [tex]\( 9 \times 6 = 54 \)[/tex].
- Subtract 54 from 60, you get 6 again. Bring down another zero to make it 60.
3. Repeat the process:
- You'll notice that you'll keep getting 6, and each time you bring down a zero to make it 60 again, it still goes 6 times. This pattern repeats indefinitely.
Therefore, the decimal form of [tex]\( \frac{15}{9} \)[/tex] is 1.666..., which continues indefinitely.
Since you need to choose from the options provided:
A. 1.64
B. 1.67
C. 1.66
D. 1.69
The closest approximation to the repeating decimal 1.666... is option C, 1.66.
