What is the simplified fractional equivalent of the terminating decimal 0.25?

2 Answers
Jan 26, 2018

#1/4#

Explanation:

#0.25# is only #1/4# of #1#. A good way to remember this is with quarters. A quarter is worth #25# cents. You need #4# to make a whole dollar. One quarter is only #1/4# of a dollar.

Jan 26, 2018

It is far quicker to just remember that #0.25-=1/4#
The #-=# means equivalent to

Explanation:

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

#color(green)(0.25color(red)(xx1) color(white)("ddd") ->color(white)("ddd")0.25color(red)(xx100/100) )#

#color(green)(color(white)("ddddddddd")->color(white)("ddd")25/100)#
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We know that 25 will divide exactly into 100 so we can and may do this:

#color(green)(color(white)("ddddddddd")->color(white)("ddd")(25-:25)/(100-:25)color(white)("d")=color(white)("d")1/4#