Question

A small gecko is 3/4 inch long. A larger gecko is 12 2/3 times as long. How long is the larger gecko

Answer 1

`9(1)/(2)`

Explanation:

Length of small gecko =
`(3)/(4) \:inches`

Length of larger gecko =
`12(2)/(3) *\: length \: of\: smaller\: gecko`

=
`12(2)/(3) * (3)/(4) \\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 12(2)/(3)=(38)/(3)\\(38)/(3)* (3)/(4)\\\\Multiply\:fractions\\=(38* \:3)/(3* \:4)\\\\\mathrm{Cancel\:the\:common\:factor:}\:3\\=(38)/(4)\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=(19)/(2)\\\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\\\quad (19)/(2)=9(1)/(2)`