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?
- First, convert 2/4 to a simpler fraction: 2/4 = 1/2.
- 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.
- 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.
- Convert 2/3 to have a common denominator of 6: 2/3 = 4/6.
- Now add: 4/6 + 4/6 = 8/6.
- 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!
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