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Answer :
To convert [tex]\( \frac{15}{9} \)[/tex] to a decimal, you need to perform the division of 15 by 9.
1. Divide 15 by 9.
2. 9 goes into 15 once (1 time), so write down 1.
3. Subtract 9 (9 [tex]\(\times\)[/tex] 1) from 15, which leaves you with a remainder of 6.
4. Bring down a zero, making it 60.
5. 9 goes into 60 six times (6 times), so write down 6 next to the 1, making it 1.6.
6. Subtract 54 (9 [tex]\(\times\)[/tex] 6) from 60, which leaves you a remainder of 6.
7. Bring down another zero, making it 60 again.
8. 9 goes into 60 again six times, so write down another 6, making it 1.66.
9. The pattern continues, resulting in 1.666...
The decimal representation of [tex]\( \frac{15}{9} \)[/tex] is 1.666..., which rounds to 1.67.
Therefore, the best answer to select from the options is:
C. 1.67
1. Divide 15 by 9.
2. 9 goes into 15 once (1 time), so write down 1.
3. Subtract 9 (9 [tex]\(\times\)[/tex] 1) from 15, which leaves you with a remainder of 6.
4. Bring down a zero, making it 60.
5. 9 goes into 60 six times (6 times), so write down 6 next to the 1, making it 1.6.
6. Subtract 54 (9 [tex]\(\times\)[/tex] 6) from 60, which leaves you a remainder of 6.
7. Bring down another zero, making it 60 again.
8. 9 goes into 60 again six times, so write down another 6, making it 1.66.
9. The pattern continues, resulting in 1.666...
The decimal representation of [tex]\( \frac{15}{9} \)[/tex] is 1.666..., which rounds to 1.67.
Therefore, the best answer to select from the options is:
C. 1.67
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