How do you simplify #1/8 - (3/4) ÷ 6/4# using order of operations?

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Answer 1 · 2018-04-04T10:05:32

#color(red)(-3/8)#

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#"Order of operation : BODMAS or PEMDAS"#

#(1/8) - (3/4) -: (6/4)#

#=> (1/8) - (3/4) * (4/6), " Division converted to multiplication"#

#=> (1/8) - cancel(3)/ cancel(4) * cancel(4) / cancel(6)^color(red)(2) = (1/8) - (1/2) " carrying out multiplication"#

#=> (1/8) - (1 * 4) / (2 * 4) = 1/8 - 4/8, " taking LCM"#

#=> (1 - 4) / 8 = -(3/8)#