How do you evaluate #(7\div \frac { - 3} { 4} + 1)#?

1 Answer
Oct 19, 2017

#= -8 1/3#

Explanation:

#(7\div \frac { - 3} { 4} + 1)#

Apply BODMAS or PEMDAS rule:

First open parenthesis:

#=7\div \frac { - 3} { 4} + 1#

Now perform division, i.e. inverse multiplication:

#=7\times \frac { - 4} { 3} + 1#

Next perform multiplication:

#= frac { - 28} { 3} + 1#

Next Addition.For that first make the denominators equal:

#= frac { - 28} { 3} + 1\times(3/3)#

#= frac { - 28} { 3} + 3/3#

#= frac { 3- 28} { 3} #

Next subtraction:

#= frac { - 25} { 3} # ............ answer.

We can write it as a mixed number:

#= -8 1/3#