Answered

Simplify. Show your work.

5 1/3 + (-3 9/18)

Verified Answer :

5 1/3 + (-3 9/18)
=5 1/3 -3 9/18
=5 1/3 -3 3/6
=5 2/6 -3 3/6
=4 8/6 - 3 3/6
= 1 5/6

facundo3141592

Answer: Hello there!

I understand the notation 5 1/3 is equivalent to 5 + 1/3 = 5.333...

our equation is 5 +1/3 +(-3 +9/18)

first we could simplify the 9/18 as 1/2 (dividing both numerator and denominator by 9)

then the equation is:

=5+ 1/3 - (3 +1/2)

=5 + 1/3 - 3 - 1/2

=5 -3 + (1/3 - 1/2)

the common factor betwe 3 and 2 is 6, then:

=2 + (2/6 - 3/6) = 2 -1/6

this can be written as:

= 2 - 1/6 = 1 + 1 -1/6 = 1 + ( 1-1/6) = 1 + 5/6

or = 1 5/6 using the original notation.

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