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What is the product of 5 7/10 - 5/18
4 months ago
Q:
What is the product of 5 7/10 - 5/18
Accepted Solution
A:
Answer:244/45Step-by-step explanation:Simplify the following: 5 + 7/10 - 5/18 Put 5 + 7/10 - 5/18 over the common denominator 90. 5 + 7/10 - 5/18 = (90×5)/90 + (9×7)/90 + (5 (-5))/90: (90×5)/90 + (9×7)/90 + (5 (-5))/90 90×5 = 450: 450/90 + (9×7)/90 + (5 (-5))/90 9×7 = 63: 450/90 + 63/90 + (5 (-5))/90 5 (-5) = -25: 450/90 + 63/90 + (-25)/90 450/90 + 63/90 - 25/90 = (450 + 63 - 25)/90: (450 + 63 - 25)/90 | 1 | | | 4 | 5 | 0 + | | 6 | 3 | 5 | 1 | 3: (513 - 25)/90 | | 10 | | 4 | 0 | 13 | 5 | 1 | 3 - | | 2 | 5 | 4 | 8 | 8: 488/90 The gcd of 488 and 90 is 2, so 488/90 = (2×244)/(2×45) = 2/2×244/45 = 244/45: Answer: 244/45