Q(14): Simplify: 41/10 - [5/2 -{576 -(2/5 + 3/10 -4/15)}]
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Step-by-step explanation:
41/10 [ 5/2 - {576 - (2/5 + 3/10 - 4/15)}]
=41/10 [5/2 - {576 - (2×2/5×2 + 3×1/10×1 - 4/15)}]
=41/10 [5/2 - {576 - (4/10 + 3/10 -4/15)}]
=41/10 [5/2 - {576 - (7/10 - 4/15)}]
=41/10 [5/2 - {576 - (7×3/10×3 - 4×2/15×2)}]
=41/10 [5/2 - { 576- (21/30 - 8/30)}]
=41/10 [5/2 - { 576 - 11/30}]
=41/10 [5/2 - {576×30/1×30 - 11×1/30×1}]
=41/10 [5/2 - {17280/30 - 11/30}]
=41/10 [5/2 - 17269/30]
=41/10 [5×15/2×15 - 17269×1/30×1]
=41/10 [75/30 - 17269/40]
=41/10 × 17194/30
=704954
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Answer:
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