How do you simplify #(- \frac{6}{5} + \frac{1}{3} \times \frac{6}{5} ) \div 2#?

2 Answers
David Drayer · EZ as pi
Oct 5, 2016

Use the order of operations PEMDAS
# -2/5#

Explanation:

PE stands for Parenthesis and Exponents.
So the first thing to simply this problem is do the operations within
the Parenthesis.

Within the parenthesis it is necessary to follow the order of operation. MD stands for multiplication and Division. There is one multiplication operation within the parenthesis so this must be done first.

# 1/3 xx 6/5# This can be factored into # 1 xx 2 xx 3/ 3 xx5#

# 3/3# =1 This results in

# 2/5#

AS stand for addition and subtraction so next do the addition.

# (-6/5) + (2/5)# This equals

# -4/5#

Now do the operation(s) outside of the parenthesis.

# (-4/5 ) /2 # This can be written as

# -4/(2 xx 5)# This can be rewritten as

# -4/2 xx 1/5# This gives

# -2 xx 1/5 = -2/5#

EZ as pi
Oct 5, 2016

#-2/5#

Explanation:

There is only one term, but there are two different terms inside the bracket. Multiply before addition.cancel

#(-6/5+color(red)(1/cancel3 xxcancel6^2/5))div2#

=#(color(blue)(-6/5+2/5))div2#

=#-cancel4^2/5 xx 1/cancel2#

=#-2/5#

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