Question

Question #b2bfe

Answer 1

`6/8,9/12,12/16`

Explanation:

`"to obtain "color(blue)("equivalent fractions ""for "3/4`

`"multiply or divide the numerator/denominator by the"`
`color(blue)"same value"`

`3/4=(3xxcolor(red)(2))/(4xxcolor(red)(2))=6/8`

`3/4=(3xxcolor(red)(3))/(4xxcolor(red)(3))=9/12`

`3/4=(3xxcolor(red)(4))/(4xxcolor(red)(4))=12/16`

`3/4" is in"color(blue)" simplest form"`

`"a fraction is in simplest form when no other factor but 1 "`
`"divides into the numerator/denominator"`

`rArr9/12=cancel(9)^3/cancel(12)^4=3/4larrcolor(blue)"in simplest form"`

Answer 2

`45/60,999/1332.....`

Explanation:

`3/4` can be written in infinite ways..... you should know that
`a/b=(axx525)/(bxx525)=(axx243895789)/(bxx243895789)=(adiv45362)/(bdiv45362`
if the numerator and the denominator are Multiplied or Divided by the same number..... their answers will be the same... Know that if you'll add or subtract... they won't be equal......
So....
`3/4=(3xx45454545)/(4xx45454545)=136363635/181818180=(3xx5)/(4xx5)=15/20`
Hope this helps ;)