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: Matt 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?
- To add the fractions, convert 2/4 to 1/2 and find a common denominator with 3/5. The common denominator is 10:
- \(1/2 = 5/10\)
- \(3/5 = 6/10\)
- Adding them together gives \(5/10 + 6/10 = 11/10\) or 1 1/10 cups of sugar.
Since 1 1/10 is not listed, it may be a mistake in assuming the conversions. Let's consider it as 1110.
Question 3: True or False: When adding or subtracting fractions, you do not need common denominators.
- The answer is False. You need common denominators to add or subtract fractions.
Question 4: Find the difference: 3/4 − 2/6.
- To find the difference, convert to a common denominator. The LCD for 4 and 6 is 12:
- \(3/4 = 9/12\)
- \(2/6 = 4/12\)
- Thus, \(9/12 - 4/12 = 5/12\) or 5/12.
Question 5: Find the sum: 4/6 + 2/3.
- Convert 2/3 to a fraction with a common denominator. The LCD for 6 and 3 is 6:
- \(2/3 = 4/6\)
- Thus, \(4/6 + 4/6 = 8/6\) or \(1\frac{1}{3}\), which could be written as 1 13.
Feel free to ask if you have any more questions!
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