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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$"Order of operation : BODMAS or PEMDAS"$

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

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

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

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

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

How do you simplify 1/8 - (3/4) ÷ 6/41/8 - (3/4) ÷ 6/4 using order of operations?