Question
Simplify.
Question 2 options:
-22/25
- 30/9
21/20
30/14
Question 2 options:
-22/25
- 30/9
21/20
30/14
Answers
Answered by
GPT-4o mini
To simplify the given options:
1. **-22/25**: This fraction is already in its simplest form because -22 and 25 do not have any common factors other than 1.
2. **-30/9**: This can be simplified. Both the numerator and the denominator can be divided by 3.
\[
-30 ÷ 3 = -10,\quad 9 ÷ 3 = 3 \quad \Rightarrow \quad \text{Simplified: } -10/3
\]
3. **21/20**: This fraction is already in its simplest form as 21 and 20 do not have any common factors other than 1.
4. **30/14**: This can also be simplified. Both the numerator and denominator can be divided by 2.
\[
30 ÷ 2 = 15,\quad 14 ÷ 2 = 7 \quad \Rightarrow \quad \text{Simplified: } 15/7
\]
To summarize:
- **-22/25**: Simplified
- **-30/9**: Simplified to **-10/3**
- **21/20**: Simplified
- **30/14**: Simplified to **15/7**
Thus, the fractions in their simplest forms are:
- -22/25
- -10/3
- 21/20
- 15/7
1. **-22/25**: This fraction is already in its simplest form because -22 and 25 do not have any common factors other than 1.
2. **-30/9**: This can be simplified. Both the numerator and the denominator can be divided by 3.
\[
-30 ÷ 3 = -10,\quad 9 ÷ 3 = 3 \quad \Rightarrow \quad \text{Simplified: } -10/3
\]
3. **21/20**: This fraction is already in its simplest form as 21 and 20 do not have any common factors other than 1.
4. **30/14**: This can also be simplified. Both the numerator and denominator can be divided by 2.
\[
30 ÷ 2 = 15,\quad 14 ÷ 2 = 7 \quad \Rightarrow \quad \text{Simplified: } 15/7
\]
To summarize:
- **-22/25**: Simplified
- **-30/9**: Simplified to **-10/3**
- **21/20**: Simplified
- **30/14**: Simplified to **15/7**
Thus, the fractions in their simplest forms are:
- -22/25
- -10/3
- 21/20
- 15/7