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3/8 + 5/7 = 21/56 + 40/56 = 61/56 = 1.08928571428571
It is usually applied in arithmetic to simplify multiplication. For example, find the value of 9*46. Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property: 9 * 46 = 9*(40 + 6) = 9*40 + 9*6 [That's the step where the distributive property was used] and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56 Thus 9 * 46 = 360 + 56 = 416.
5/21 + 1/7 = 56/147 or 8/21
25/8 + 63/7 = 21/8 + 45/7 = 147/56 + 360/56 = 507/56 = 93/56
3 2/7 + 6 3/8 = 3 16/56 + 6 21/56 = 9 37/56