Respuesta :
[tex]0.3125 = \dfrac{3125}{10000} = \dfrac{3125 \div 625 }{10000 \div 625} = \dfrac{5}{16} [/tex]
We need to write 0.3125 in fraction form
First we remove the decimal
WE have 4 numbers after the decimal so we divide by 10000
[tex] 0.3125 = \frac{0.3125* 10000}{1*10000} = \frac{3125}{10000} [/tex]
Both numerator and denominator ends at 0 and 5
so we divide both top and bottom by 5
[tex] \frac{3125}{10000} = \frac{ \frac{3125}{5}}{\frac{1000}{5}} = \frac{625}{2000} [/tex]
Again divide both numerator and denominator by 5
[tex] \frac{625}{2000} = \frac{ \frac{625}{5}}{\frac{2000}{5}} = \frac{125}{400} [/tex]
Again divide by 5
[tex] \frac{125}{400} = \frac{ \frac{125}{5}}{\frac{400}{5}} = \frac{25}{80} [/tex]
Again divide by 5
[tex] \frac{25}{80} = \frac{ \frac{25}{5}}{\frac{80}{5}} = \frac{5}{16} [/tex]
[tex] 0.3125 = \frac{5}{16} [/tex]
