Asked by im sad
Simplify -3/4r + 3 - 5/6r - 6
BOT HELPP
BOT HELPP
Answers
Answered by
GPT-4o mini
To simplify the expression \(-\frac{3}{4}r + 3 - \frac{5}{6}r - 6\), follow these steps:
1. **Combine like terms**: First, we'll group the \(r\) terms together and the constant terms together.
\(-\frac{3}{4}r - \frac{5}{6}r + 3 - 6\)
2. **Combine the constant terms**:
\(3 - 6 = -3\)
So now the expression looks like:
\(-\frac{3}{4}r - \frac{5}{6}r - 3\)
3. **Combine the \(r\) terms**: To do this, we need a common denominator for \(-\frac{3}{4}r\) and \(-\frac{5}{6}r\). The least common multiple of 4 and 6 is 12.
- Convert \(-\frac{3}{4}r\) to a fraction with a denominator of 12:
\(-\frac{3}{4} = -\frac{3 \times 3}{4 \times 3} = -\frac{9}{12}\)
- Convert \(-\frac{5}{6}r\) to a fraction with a denominator of 12:
\(-\frac{5}{6} = -\frac{5 \times 2}{6 \times 2} = -\frac{10}{12}\)
4. **Now combine the \(r\) terms**:
\(-\frac{9}{12}r - \frac{10}{12}r = -\frac{9 + 10}{12}r = -\frac{19}{12}r\)
5. **Put it all together**:
The complete simplified expression is:
\(-\frac{19}{12}r - 3\)
So, the simplified form of the given expression is:
\[
-\frac{19}{12}r - 3
\]
1. **Combine like terms**: First, we'll group the \(r\) terms together and the constant terms together.
\(-\frac{3}{4}r - \frac{5}{6}r + 3 - 6\)
2. **Combine the constant terms**:
\(3 - 6 = -3\)
So now the expression looks like:
\(-\frac{3}{4}r - \frac{5}{6}r - 3\)
3. **Combine the \(r\) terms**: To do this, we need a common denominator for \(-\frac{3}{4}r\) and \(-\frac{5}{6}r\). The least common multiple of 4 and 6 is 12.
- Convert \(-\frac{3}{4}r\) to a fraction with a denominator of 12:
\(-\frac{3}{4} = -\frac{3 \times 3}{4 \times 3} = -\frac{9}{12}\)
- Convert \(-\frac{5}{6}r\) to a fraction with a denominator of 12:
\(-\frac{5}{6} = -\frac{5 \times 2}{6 \times 2} = -\frac{10}{12}\)
4. **Now combine the \(r\) terms**:
\(-\frac{9}{12}r - \frac{10}{12}r = -\frac{9 + 10}{12}r = -\frac{19}{12}r\)
5. **Put it all together**:
The complete simplified expression is:
\(-\frac{19}{12}r - 3\)
So, the simplified form of the given expression is:
\[
-\frac{19}{12}r - 3
\]
Answered by
GPT-4o mini
Yes, I can confirm that the simplification I provided is correct. Here’s a step-by-step breakdown once more to assure you:
1. Start with the original expression:
\[
-\frac{3}{4}r + 3 - \frac{5}{6}r - 6
\]
2. Combine like terms. Group the \(r\) terms and the constant terms:
\[
-\frac{3}{4}r - \frac{5}{6}r + 3 - 6
\]
Simplifying the constant terms:
\[
3 - 6 = -3
\]
So, we have:
\[
-\frac{3}{4}r - \frac{5}{6}r - 3
\]
3. Now, we need to combine the \(r\) terms \(-\frac{3}{4}r\) and \(-\frac{5}{6}r\).
- Find a common denominator for 4 and 6, which is 12.
- Convert \(-\frac{3}{4}r\):
\[
-\frac{3}{4}r = -\frac{3 \times 3}{4 \times 3} = -\frac{9}{12}r
\]
- Convert \(-\frac{5}{6}r\):
\[
-\frac{5}{6}r = -\frac{5 \times 2}{6 \times 2} = -\frac{10}{12}r
\]
4. Now, combine the converted \(r\) terms:
\[
-\frac{9}{12}r - \frac{10}{12}r = -\frac{19}{12}r
\]
5. Put everything together:
\[
-\frac{19}{12}r - 3
\]
So, in conclusion, the simplified expression is indeed:
\[
-\frac{19}{12}r - 3
\]
If you have any further doubts or questions, feel free to ask!
1. Start with the original expression:
\[
-\frac{3}{4}r + 3 - \frac{5}{6}r - 6
\]
2. Combine like terms. Group the \(r\) terms and the constant terms:
\[
-\frac{3}{4}r - \frac{5}{6}r + 3 - 6
\]
Simplifying the constant terms:
\[
3 - 6 = -3
\]
So, we have:
\[
-\frac{3}{4}r - \frac{5}{6}r - 3
\]
3. Now, we need to combine the \(r\) terms \(-\frac{3}{4}r\) and \(-\frac{5}{6}r\).
- Find a common denominator for 4 and 6, which is 12.
- Convert \(-\frac{3}{4}r\):
\[
-\frac{3}{4}r = -\frac{3 \times 3}{4 \times 3} = -\frac{9}{12}r
\]
- Convert \(-\frac{5}{6}r\):
\[
-\frac{5}{6}r = -\frac{5 \times 2}{6 \times 2} = -\frac{10}{12}r
\]
4. Now, combine the converted \(r\) terms:
\[
-\frac{9}{12}r - \frac{10}{12}r = -\frac{19}{12}r
\]
5. Put everything together:
\[
-\frac{19}{12}r - 3
\]
So, in conclusion, the simplified expression is indeed:
\[
-\frac{19}{12}r - 3
\]
If you have any further doubts or questions, feel free to ask!
Answered by
GPT-4o mini
Hello! How can I assist you today?
Answered by
GPT-4o mini
A "glizzy" is a slang term that typically refers to a hot dog. It gained popularity in online culture, particularly on social media platforms like TikTok and Twitter. The term can sometimes be used humorously or playfully, often in the context of food challenges or jokes.
Additionally, "glizzy" can also refer to a gun in some slang contexts, particularly in certain regions of the U.S. However, in most recent popular usage, it often denotes a hot dog. If you have any specific context in mind, feel free to share!
Additionally, "glizzy" can also refer to a gun in some slang contexts, particularly in certain regions of the U.S. However, in most recent popular usage, it often denotes a hot dog. If you have any specific context in mind, feel free to share!