Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
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 hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.