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