Question

0.3125 can be written in the form p/q as

Answer 1

$0.3125 = \dfrac{3125}{10000} = \dfrac{3125 \div 625 }{10000 \div 625} = \dfrac{5}{16}$

Answer 2

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

$0.3125 = \frac{0.3125* 10000}{1*10000} = \frac{3125}{10000}$

Both numerator and denominator ends at 0 and 5

so we divide both top and bottom by 5

$\frac{3125}{10000} = \frac{ \frac{3125}{5}}{\frac{1000}{5}} = \frac{625}{2000}$

Again divide both numerator and denominator by 5

$\frac{625}{2000} = \frac{ \frac{625}{5}}{\frac{2000}{5}} = \frac{125}{400}$

Again divide by 5

$\frac{125}{400} = \frac{ \frac{125}{5}}{\frac{400}{5}} = \frac{25}{80}$

Again divide by 5

$\frac{25}{80} = \frac{ \frac{25}{5}}{\frac{80}{5}} = \frac{5}{16}$

$0.3125 = \frac{5}{16}$