How do you solve #\frac{78}{5\div 6(3\times 6)}#?

1 Answer
Shwetank Mauria
Oct 3, 2016

#78/(5-:6(3xx6))=1684.8#

Explanation:

#78/(5-:6(3xx6))#

#hArr78-:[5-:6(3xx6)]#

Now, using PEMDAS, we should first start with Parentheses, then Exponents (none here), Multiplication, Division, Addition and Subtraction (last two too are not applicable here).

Further if there is one parentheses within other parentheses, internal parentheses should be solved first.

Hence, #78-:[5-:6(3xx6)]#

= #78-:[5-:6(18)]#

= #78-:[5-:6xx18]#

= #78-:[5-:108]#

= #78-:5/108#

Now as division by a fraction #a/b# is equal to multiplication by #b/a#, above is equal to

= #78xx108/5#

= #(78xx108xx2)/10=1684.8#

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