Answer:
[tex]\frac{3}{16} \textrm{of the gargantuas will be unplanted}.[/tex]
Step-by-step explanation:
Given: Browns have planted 3/16 tomatoes, 1/4 cabbage and 3/8 peppers.
First lets find out the total fraction of planted.
[tex]\frac{3}{16} +\frac{1}{4} +\frac{3}{8}[/tex]
Now taking LCD for 16,4 and 8 to add up the fraction.
∴ LCD is 16
Next adding the fraction,
[tex]\frac{3\times 1+1\times 4+ 3\times 2}{16} = \frac{13}{16}[/tex]
∴ Total fraction of planted gargantuas is [tex]\frac{13}{16}[/tex]
Lets take the size of gragantuas as ``1``
∴ To find the un planted fraction of gargantuas.
[tex](1- \textrm{Total fraction of planted part of gargantuas})[/tex]
=[tex]1-\frac{13}{16}[/tex]
= [tex]\frac{3}{16}[/tex]
∴ 3/16 is the unplanted fraction of gargantuas.