Question

How to write each decimal as a mixed number or fraction in simplest form

Answer 1

Example:
0.24
The decimal is in the hundredths place, so you would place it over a hundred, like so:

`(24)/(100)`
Then, just simplify how you would with a regular fraction.
The fraction would then be
`(6)/(25)`

Example 2:
0.4
It's in the tenths place.
Place it over 10, like this:
`(4)/(10)`
Simplify it like a normal fraction. It's now
`(2)/(5)`

Example 3:
1.45
There's now a whole number.

`1(45)/(100)`
Ignore the whole number (1) and simplify.
The fraction when simplified is
`1 (9)/(20)`

Example 4:
1.6
Whole number and tenths place.
Do the same. The fraction would be
`1 (6)/(10)`
Ignore the whole number again and simplify.
The fraction is now
`1(3)/(5)`

I hope this helped you on converting decimals to fractions and mixed numbers then simplifying them! :-)