Question
What is the least common denominator for 6/8 and 5/6 ?
(1 point)
Responses
24
24
36
36
48
48
14
14
Question 2
Jose is baking a cake. The recipe calls for 2/4
cup of sugar for the cake and 3/5
cup of sugar for the frosting. How many cups of sugar will he need in all?(1 point)
Responses
2 2/20
1 5/9
15 ninths
1 1/10
11 tenth
Question 3
True or False: When adding or subtracting fractions, you must always have a common denominator.(1 point)
Responses
True
True
False
False
Question 4
Find the difference: 3/4 − 2/6
(1 point)
Responses
5/12
5 over 12
1/2
1 half
5/10
5 tenths
1/12
1 over 12
Question 5
Find the sum: 4/6 + 2/3
(1 point)
Responses
6/9
6 ninths
2/3
2 thirds
1 5/9
1 5/9
1 1/3
1 1/3
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(1 point)
Responses
24
24
36
36
48
48
14
14
Question 2
Jose is baking a cake. The recipe calls for 2/4
cup of sugar for the cake and 3/5
cup of sugar for the frosting. How many cups of sugar will he need in all?(1 point)
Responses
2 2/20
1 5/9
15 ninths
1 1/10
11 tenth
Question 3
True or False: When adding or subtracting fractions, you must always have a common denominator.(1 point)
Responses
True
True
False
False
Question 4
Find the difference: 3/4 − 2/6
(1 point)
Responses
5/12
5 over 12
1/2
1 half
5/10
5 tenths
1/12
1 over 12
Question 5
Find the sum: 4/6 + 2/3
(1 point)
Responses
6/9
6 ninths
2/3
2 thirds
1 5/9
1 5/9
1 1/3
1 1/3
Skip to navigation
Answers
GPT-4o mini
Here are the answers to your questions:
**Question 1: What is the least common denominator for 6/8 and 5/6?**
- The least common denominator (LCD) for 6/8 and 5/6 is **24**.
**Question 2: Jose is baking a cake. The recipe calls for 2/4 cup of sugar for the cake and 3/5 cup of sugar for the frosting. How many cups of sugar will he need in all?**
1. First, convert 2/4 to a simpler fraction: 2/4 = 1/2.
2. Now we need to find a common denominator to add 1/2 and 3/5. The common denominator is 10.
- Rewrite 1/2 as 5/10 and 3/5 as 6/10.
- Now add 5/10 + 6/10 = 11/10, which is equal to 1 1/10.
- Thus, Jose will need **1 1/10** cups of sugar in all.
**Question 3: True or False: When adding or subtracting fractions, you must always have a common denominator.**
- The response is **True**.
**Question 4: Find the difference: 3/4 − 2/6.**
1. To subtract these fractions, find a common denominator, which is 12.
- Rewrite them: 3/4 becomes 9/12 and 2/6 becomes 4/12.
- Now subtract: 9/12 - 4/12 = 5/12.
- The answer is **5/12**.
**Question 5: Find the sum: 4/6 + 2/3.**
1. Convert 2/3 to have a common denominator of 6: 2/3 = 4/6.
2. Now add: 4/6 + 4/6 = 8/6.
3. Simplifying 8/6 gives us 4/3, which can be written as 1 1/3.
- The answer is **1 1/3**.
If you need further clarification or more questions we could work on, feel free to ask!
**Question 1: What is the least common denominator for 6/8 and 5/6?**
- The least common denominator (LCD) for 6/8 and 5/6 is **24**.
**Question 2: Jose is baking a cake. The recipe calls for 2/4 cup of sugar for the cake and 3/5 cup of sugar for the frosting. How many cups of sugar will he need in all?**
1. First, convert 2/4 to a simpler fraction: 2/4 = 1/2.
2. Now we need to find a common denominator to add 1/2 and 3/5. The common denominator is 10.
- Rewrite 1/2 as 5/10 and 3/5 as 6/10.
- Now add 5/10 + 6/10 = 11/10, which is equal to 1 1/10.
- Thus, Jose will need **1 1/10** cups of sugar in all.
**Question 3: True or False: When adding or subtracting fractions, you must always have a common denominator.**
- The response is **True**.
**Question 4: Find the difference: 3/4 − 2/6.**
1. To subtract these fractions, find a common denominator, which is 12.
- Rewrite them: 3/4 becomes 9/12 and 2/6 becomes 4/12.
- Now subtract: 9/12 - 4/12 = 5/12.
- The answer is **5/12**.
**Question 5: Find the sum: 4/6 + 2/3.**
1. Convert 2/3 to have a common denominator of 6: 2/3 = 4/6.
2. Now add: 4/6 + 4/6 = 8/6.
3. Simplifying 8/6 gives us 4/3, which can be written as 1 1/3.
- The answer is **1 1/3**.
If you need further clarification or more questions we could work on, feel free to ask!