Answer :
To convert the fraction [tex]\( \frac{15}{9} \)[/tex] to a decimal, you need to divide 15 by 9.
1. Start by setting 15 as the dividend (the number to be divided) and 9 as the divisor (the number you are dividing by).
2. Perform the division:
- 9 goes into 15 once (1 time). Multiply 9 by 1 to get 9.
- Subtract 9 from 15 to get a remainder of 6.
3. To continue dividing, add a decimal point and bring down a zero, making the new number 60.
4. Divide again:
- 9 goes into 60 six times (6 times). Multiply 9 by 6 to get 54.
- Subtract 54 from 60 to get a remainder of 6.
5. Notice the remainder is 6 again, indicating a repeating process. Bring down another zero to make it 60.
6. The division will again result in 6, with a remainder of 6, indicating a repeating decimal of 1.666...
Thus, [tex]\( \frac{15}{9} \)[/tex] equals approximately 1.66 when rounded.
Comparing this with the options provided:
- A. 1.64
- B. 1.69
- C. 1.66
- D. 1.67
The closest option to 1.666... is C. 1.66. Hence, the correct answer is C. 1.66.
1. Start by setting 15 as the dividend (the number to be divided) and 9 as the divisor (the number you are dividing by).
2. Perform the division:
- 9 goes into 15 once (1 time). Multiply 9 by 1 to get 9.
- Subtract 9 from 15 to get a remainder of 6.
3. To continue dividing, add a decimal point and bring down a zero, making the new number 60.
4. Divide again:
- 9 goes into 60 six times (6 times). Multiply 9 by 6 to get 54.
- Subtract 54 from 60 to get a remainder of 6.
5. Notice the remainder is 6 again, indicating a repeating process. Bring down another zero to make it 60.
6. The division will again result in 6, with a remainder of 6, indicating a repeating decimal of 1.666...
Thus, [tex]\( \frac{15}{9} \)[/tex] equals approximately 1.66 when rounded.
Comparing this with the options provided:
- A. 1.64
- B. 1.69
- C. 1.66
- D. 1.67
The closest option to 1.666... is C. 1.66. Hence, the correct answer is C. 1.66.
