How do you write -0.75 as a fraction in simplest form?

1 Answer
Sep 15, 2016

#-3/4#

Explanation:

first notice that this is a negative value. This must not be forgotten when we write the answer.

Write as # (-1)xx(color(red)(7/10)color(blue)(+5/100))#

This is the same as:

#(-1)xx[color(red)( (7/10xx1))color(blue)(+5/100)]#

But 1 can be written as #10/10#

#(-1)xx[ color(red)((7/10xx10/10))color(blue)(+5/100)]#

#(-1)xx[color(red)(70/100)color(blue)(+5/100)]#

#=-75/100#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Write as:# -[(75-:25)/(100-:25)]" "=" "-3/4#