Question

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

Answer 1

`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.

Answer 2

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`