Discover new knowledge and insights with IDNLearn.com's extensive Q&A database. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.
Sagot :
Sure! Let's determine the lowest common denominator (LCD) for each given sum or difference in the fractions.
### Problem 1: [tex]\( \frac{13}{24} + \frac{7}{12} \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 24 and 12.
2. Find the LCD of 24 and 12.
The lowest common denominator (LCD) of 24 and 12 is 24.
### Problem 2: [tex]\( \frac{7}{6} + \left( -\frac{5}{12} \right) \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 6 and 12.
2. Find the LCD of 6 and 12.
The lowest common denominator (LCD) of 6 and 12 is 12.
### Problem 3: [tex]\( -\frac{3}{4} + \left( -\frac{2}{3} \right) \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 4 and 3.
2. Find the LCD of 4 and 3.
The lowest common denominator (LCD) of 4 and 3 is 12.
### Problem 4: [tex]\( 5 - \frac{7}{10} \)[/tex]
To find the lowest common denominator:
1. Represent 5 as a fraction: [tex]\( \frac{5}{1} \)[/tex].
2. Identify the denominators: 1 and 10.
3. Find the LCD of 1 and 10.
The lowest common denominator (LCD) of 1 and 10 is 10.
### Problem 5: [tex]\( \frac{1}{8} - \frac{5}{3} \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 8 and 3.
2. Find the LCD of 8 and 3.
The lowest common denominator (LCD) of 8 and 3 is 24.
### Problem 6: [tex]\( 32 - \frac{4}{5} \)[/tex]
To find the lowest common denominator:
1. Represent 32 as a fraction: [tex]\( \frac{32}{1} \)[/tex].
2. Identify the denominators: 1 and 5.
3. Find the LCD of 1 and 5.
The lowest common denominator (LCD) of 1 and 5 is 5.
### Summary
Here are the lowest common denominators for each given sum or difference:
1. [tex]\( \frac{13}{24} + \frac{7}{12} \)[/tex]: 24
2. [tex]\( \frac{7}{6} + \left( -\frac{5}{12} \right) \)[/tex]: 12
3. [tex]\( -\frac{3}{4} + \left( -\frac{2}{3} \right) \)[/tex]: 12
4. [tex]\( 5 - \frac{7}{10} \)[/tex]: 10
5. [tex]\( \frac{1}{8} - \frac{5}{3} \)[/tex]: 24
6. [tex]\( 32 - \frac{4}{5} \)[/tex]: 5
### Problem 1: [tex]\( \frac{13}{24} + \frac{7}{12} \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 24 and 12.
2. Find the LCD of 24 and 12.
The lowest common denominator (LCD) of 24 and 12 is 24.
### Problem 2: [tex]\( \frac{7}{6} + \left( -\frac{5}{12} \right) \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 6 and 12.
2. Find the LCD of 6 and 12.
The lowest common denominator (LCD) of 6 and 12 is 12.
### Problem 3: [tex]\( -\frac{3}{4} + \left( -\frac{2}{3} \right) \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 4 and 3.
2. Find the LCD of 4 and 3.
The lowest common denominator (LCD) of 4 and 3 is 12.
### Problem 4: [tex]\( 5 - \frac{7}{10} \)[/tex]
To find the lowest common denominator:
1. Represent 5 as a fraction: [tex]\( \frac{5}{1} \)[/tex].
2. Identify the denominators: 1 and 10.
3. Find the LCD of 1 and 10.
The lowest common denominator (LCD) of 1 and 10 is 10.
### Problem 5: [tex]\( \frac{1}{8} - \frac{5}{3} \)[/tex]
To find the lowest common denominator:
1. Identify the denominators: 8 and 3.
2. Find the LCD of 8 and 3.
The lowest common denominator (LCD) of 8 and 3 is 24.
### Problem 6: [tex]\( 32 - \frac{4}{5} \)[/tex]
To find the lowest common denominator:
1. Represent 32 as a fraction: [tex]\( \frac{32}{1} \)[/tex].
2. Identify the denominators: 1 and 5.
3. Find the LCD of 1 and 5.
The lowest common denominator (LCD) of 1 and 5 is 5.
### Summary
Here are the lowest common denominators for each given sum or difference:
1. [tex]\( \frac{13}{24} + \frac{7}{12} \)[/tex]: 24
2. [tex]\( \frac{7}{6} + \left( -\frac{5}{12} \right) \)[/tex]: 12
3. [tex]\( -\frac{3}{4} + \left( -\frac{2}{3} \right) \)[/tex]: 12
4. [tex]\( 5 - \frac{7}{10} \)[/tex]: 10
5. [tex]\( \frac{1}{8} - \frac{5}{3} \)[/tex]: 24
6. [tex]\( 32 - \frac{4}{5} \)[/tex]: 5
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.