Answer:
[tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
Length of small gecko =[tex]\frac{3}{4} \:inches[/tex]
Length of larger gecko = [tex]12\frac{2}{3} \times\: length \: of\: smaller\: gecko[/tex]
= [tex]12\frac{2}{3} \times \frac{3}{4} \\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 12\frac{2}{3}=\frac{38}{3}\\\frac{38}{3}\times \frac{3}{4}\\\\Multiply\:fractions\\=\frac{38\times \:3}{3\times \:4}\\\\\mathrm{Cancel\:the\:common\:factor:}\:3\\=\frac{38}{4}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{19}{2}\\\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\\\quad \frac{19}{2}=9\frac{1}{2}[/tex]
