Question
Simplify 1830
using the GCF.(1 point)
Responses
35
Start Fraction 3 over 5 End Fraction
610
Start Fraction 6 over 10 End Fraction
915
Start Fraction 9 over 15 End Fraction
330
Answers
GPT-4o mini
To simplify the number 1830 using the GCF (Greatest Common Factor), we first need to find the GCF of 1830 with each of the options provided.
1. **Option 1: 35**
GCF(1830, 35) = 5
Simplifying gives: 1830 ÷ 5 = 366, and 35 ÷ 5 = 7
So, 1830 is not simplified to 35.
2. **Option 2: \( \frac{6}{10} \)**
GCF(1830, 6) = 6 → Simplifying gives: 1830 ÷ 6 = 305, and 6 ÷ 6 = 1
GCF(1830, 10) = 10 → Simplifying gives: 1830 ÷ 10 = 183, and 10 ÷ 10 = 1
This option also seems incorrect as it does not simplify properly.
3. **Option 3: \( \frac{9}{15} \)**
Similarly, GCF(1830, 9) = 9 → Simplifying gives: 1830 ÷ 9 = 203.33; not an integer, check next 15.
GCF(1830, 15) = 15 → Simplifying gives: 1830 ÷ 15 = 122; not an integer, check next.
4. **Option 4: 330**
GCF(1830, 330) = 330
This simplifies: \( \frac{1830}{330} = 5.5455 \) is incorrect as it's not reducible into integer values.
None of the options provided can validly represent a simplification of 1830. However, the simplest form of 1830 as a fraction might be achieved through dividing by the GCF.
If you meant these as fractions of 1830 simplified by their GCF, you would simply go through finding the GCFs mentioned above and then divide. Based on the available choices, unfortunately, none meet the criteria.
Please clarify your question if more context is needed!
1. **Option 1: 35**
GCF(1830, 35) = 5
Simplifying gives: 1830 ÷ 5 = 366, and 35 ÷ 5 = 7
So, 1830 is not simplified to 35.
2. **Option 2: \( \frac{6}{10} \)**
GCF(1830, 6) = 6 → Simplifying gives: 1830 ÷ 6 = 305, and 6 ÷ 6 = 1
GCF(1830, 10) = 10 → Simplifying gives: 1830 ÷ 10 = 183, and 10 ÷ 10 = 1
This option also seems incorrect as it does not simplify properly.
3. **Option 3: \( \frac{9}{15} \)**
Similarly, GCF(1830, 9) = 9 → Simplifying gives: 1830 ÷ 9 = 203.33; not an integer, check next 15.
GCF(1830, 15) = 15 → Simplifying gives: 1830 ÷ 15 = 122; not an integer, check next.
4. **Option 4: 330**
GCF(1830, 330) = 330
This simplifies: \( \frac{1830}{330} = 5.5455 \) is incorrect as it's not reducible into integer values.
None of the options provided can validly represent a simplification of 1830. However, the simplest form of 1830 as a fraction might be achieved through dividing by the GCF.
If you meant these as fractions of 1830 simplified by their GCF, you would simply go through finding the GCFs mentioned above and then divide. Based on the available choices, unfortunately, none meet the criteria.
Please clarify your question if more context is needed!