Question

How do i rewrite 14/32 to make it the simplist

Answer 1

`(14)/(32)` in its simplest form would be
`(7)/(16)`

Explanation:

`\mathrm{Find\:a\:common\:factor\:of\:}14\mathrm{\:and\:}32\mathrm{\:in\:order\:to\:cancel\:it\:out}\:`
`: 2`

`\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}\\14=2\cdot \:7\mathrm{,\:\quad }32=2\cdot \:16\\=(2\cdot \:7)/(2\cdot \:16)\\`

`\mathrm{Cancel\:the\:common\:factor:}\:2\\=(7)/(16)\\\\`

hope this helps :)

Answer 2

You would need to divide "14/32" by 2, since 2 in this problem is your "gcf" so:

14 / 2 = 7

32 / 2 = 16

So, it's 7/16.