Question

Multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13

Answer 1

`=-(331)/(288)=-1.14930\dots`

Explanation:

`((7)/(8) + (3)/(4) )* ((5)/(36) - (11)/(13) )\\\\\mathrm{Join}\:(7)/(8)+(3)/(4):\quad (13)/(8)\\\\=(13)/(8)\left((5)/(36)-(11)/(13)\right)\\\\\mathrm{Join}\:(5)/(36)-(11)/(13):\quad -(331)/(468)\\\\=(13)/(8)\left(-(331)/(468)\right)\\\\=-(13)/(8)*(331)/(468)\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=(1)/(8)*(331)/(36)\\\\=-(1\cdot \:331)/(8*\:36)\\\\=-(331)/(288)`