1) 4 1/17 * 34/69 = 69/17 * 34/69 = 69 * 34/17 * 69 = 2/1 = 2
2) 3 1/3 * 9/31 = 10/3 * 9/31 = 10 * 9/3 * 31 = 30/31
3) 5 1/5 * 15/26 = 26/5 * 15/26 = 26 * 15/5 * 26 = 3
2. 1) 2 1/4 * (3 + 4 1/8 * 2 2/11) = 9/4 * (3 + 33/8 * 24/11) = 9/4 * (3 + 33 * 24/8 * 11) = 9/4 * (3 + 72/8) = 9/4 * (3 + 9) = 9/4 * 12 = 9 * 12/4 = 9 * 3 = 27
2) 1 1/2 * (6 - 2 6/11 * 1 4/7) = 3/2 * (6 - 28/11 * 11/7) = 3/2 * (6 - 28 * 11/11 * 7) = 3/2 * (6 - 4) = 3/2 * 2 = 3 *2/2 = 3 * 1 = 3
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Answers & Comments
1) 4 1/17 * 34/69 = 69/17 * 34/69 = 69 * 34/17 * 69 = 2/1 = 2
2) 3 1/3 * 9/31 = 10/3 * 9/31 = 10 * 9/3 * 31 = 30/31
3) 5 1/5 * 15/26 = 26/5 * 15/26 = 26 * 15/5 * 26 = 3
2. 1) 2 1/4 * (3 + 4 1/8 * 2 2/11) = 9/4 * (3 + 33/8 * 24/11) = 9/4 * (3 + 33 * 24/8 * 11) = 9/4 * (3 + 72/8) = 9/4 * (3 + 9) = 9/4 * 12 = 9 * 12/4 = 9 * 3 = 27
2) 1 1/2 * (6 - 2 6/11 * 1 4/7) = 3/2 * (6 - 28/11 * 11/7) = 3/2 * (6 - 28 * 11/11 * 7) = 3/2 * (6 - 4) = 3/2 * 2 = 3 *2/2 = 3 * 1 = 3