Example:
0.24
The decimal is in the hundredths place, so you would place it over a hundred, like so:
\(\frac{24}{100}\)
Then, just simplify how you would with a regular fraction.
The fraction would then be \(\frac{6}{25}\)
Example 2:
0.4
It's in the tenths place.
Place it over 10, like this: \(\frac{4}{10}\)
Simplify it like a normal fraction. It's now \(\frac{2}{5}\)
Example 3:
1.45
There's now a whole number.
\(1\frac{45}{100}\)
Ignore the whole number (1) and simplify.
The fraction when simplified is \(1 \frac{9}{20}\)
Example 4:
1.6
Whole number and tenths place.
Do the same. The fraction would be \(1 \frac{6}{10}\)
Ignore the whole number again and simplify.
The fraction is now \(1\frac{3}{5}\)
I hope this helped you on converting decimals to fractions and mixed numbers then simplifying them! :-)