How do you simplify #7/8 - (4/5 + 1 3/4)#?

1 Answer
Apr 20, 2018

Answer:

#-67/40#

Explanation:

There is a mixed number in the expression. Let's make that an improper fraction:
#\color(red)(1(3/4)=4/4+3/4=7/4)#
#\therefore7/8-(4/5+\color(red)(7/4))#
Now make everything common denominator. That means LCM of 8, 5, 4 (which is 40).

Thus:
#7/8(5/5)-[4/5(8/8)+7/4(10/10)]#

#(7(5)-[4(8)+7(10)])/40=(35-(32+70))/40#

Now we can apply PEMDAS.

  • Parentheses first: #32+70=102#
    #(35-102)/40#
  • Now subtract:
    #-67/40#