Answer :
[tex]\frac{24}{100}=0.24\\\\or\\\\24|2\\12|2\\.\ 6|2\\.\ 3|3\\.\ 1|\\24=\fbox2\times\fbox2\times2\times3\\\\100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ |1|\\100=\fbox2\times\fbox2\times5\times5[/tex]
[tex]\fbox2\times\fbox2=4\\\\24:\fbox4=6;\ 100:\fbox4=25\\\\therefore:\\\\\boxed{\frac{24}{100}=\frac{6}{25}}[/tex]
[tex]\fbox2\times\fbox2=4\\\\24:\fbox4=6;\ 100:\fbox4=25\\\\therefore:\\\\\boxed{\frac{24}{100}=\frac{6}{25}}[/tex]