Question

(7/15-1/6)+2/5; (3/8-1/9)+25/36 (8/9-5/6)+2/3 (7/8-13/20)+9/10 (7/18-1/12)+5/6 (3/4-8/15)+17/20

Answer 1

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Answer 2

Sure, I can help you with these calculations. Let's solve each expression step by step:

1. (7/15 - 1/6) + 2/5: To add fractions, we need a common denominator. The least common multiple of 15, 6, and 5 is 30. So, (7/15 - 1/6) + 2/5 = (14/30 - 5/30) + 12/30 = 9/30 = 3/10.

2. (3/8 - 1/9) + 25/36: The least common multiple of 8, 9, and 36 is 72. So, (3/8 - 1/9) + 25/36 = (27/72 - 8/72) + 50/72 = 19/72 + 50/72 = 69/72 = 23/24.

3. (8/9 - 5/6) + 2/3: The least common multiple of 9, 6, and 3 is 18. So, (8/9 - 5/6) + 2/3 = (16/18 - 15/18) + 12/18 = 1/18 + 12/18 = 13/18.

4. (7/8 - 13/20) + 9/10: The least common multiple of 8, 20, and 10 is 40. So, (7/8 - 13/20) + 9/10 = (35/40 - 26/40) + 36/40 = 9/40 + 36/40 = 45/40 = 9/8.

5. (7/18 - 1/12) + 5/6: The least common multiple of 18, 12, and 6 is 36. So, (7/18 - 1/12) + 5/6 = (14/36 - 3/36) + 30/36 = 11/36 + 30/36 = 41/36.

6. (3/4 - 8/15) + 17/20: The least common multiple of 4, 15, and 20 is 60. So, (3/4 - 8/15) + 17/20 = (45/60 - 32/60) + 51/60 = 13/60 + 51/60 = 64/60 = 32/30 = 16/15.

Here are the results of the calculations:

1. (7/15 - 1/6) + 2/5 = 3/10
2. (3/8 - 1/9) + 25/36 = 23/24
3. (8/9 - 5/6) + 2/3 = 13/18
4. (7/8 - 13/20) + 9/10 = 9/8
5. (7/18 - 1/12) + 5/6 = 41/36
6. (3/4 - 8/15) + 17/20 = 16/15