Question 834973
This is Eva's garden, divided into two equal parts (halves) by that red line:
{{{drawing(500,200,0,5,0,2,rectangle(0,0,5,2),
red(line(0,1,5,1)),
green(line(0,0,1,1)),green(line(-0.25,0,0.75,1)),
green(line(-0.5,0,0.5,1)),green(line(-0.75,0,0.25,1)),
green(line(0.25,0,1.25,1)),green(line(0.5,0,1.5,1)),
green(line(0.75,0,1.75,1)),green(line(1,0,2,1)),
green(line(1.25,0,2.25,1)),green(line(1.5,0,2.5,1)),
green(line(1.75,0,2.75,1)),green(line(2,0,3,1)),
green(line(2.25,0,3.25,1)),green(line(2.5,0,3.5,1)),
green(line(2.75,0,3.75,1)),green(line(3,0,4,1)),
green(line(3.25,0,4.25,1)),green(line(3.5,0,4.5,1)),
green(line(3.75,0,4.75,1)),green(line(4,0,5,1)),
green(line(4.25,0,5.25,1)),green(line(4.5,0,5.5,1)),
green(line(4.75,0,5.75,1)),locate(0.6,0.6,eggplant),
locate(2.2,0.6,planted),locate(3.8,0.6,here)
)}}} {{{1/2}}} of Eva's garden is planted with eggplant.
Sorry, since I skipped kindergarten, I never quite learned to color within the lines.
 
Now I am drawing blue lines. The red and blue lines divide Eva's garden into {{{10}}} equal parts. Each one of those parts is {{{1/10}}} (one tenth) of Eva's garden.
{{{drawing(500,200,0,5,0,2,rectangle(0,0,5,2),
red(line(0,1,5,1)),
green(line(0,0,1,1)),green(line(-0.25,0,0.75,1)),
green(line(-0.5,0,0.5,1)),green(line(-0.75,0,0.25,1)),
green(line(0.25,0,1.25,1)),green(line(0.5,0,1.5,1)),
green(line(0.75,0,1.75,1)),green(line(1,0,2,1)),
green(line(1.25,0,2.25,1)),green(line(1.5,0,2.5,1)),
green(line(1.75,0,2.75,1)),green(line(2,0,3,1)),
green(line(2.25,0,3.25,1)),green(line(2.5,0,3.5,1)),
green(line(2.75,0,3.75,1)),green(line(3,0,4,1)),
green(line(3.25,0,4.25,1)),green(line(3.5,0,4.5,1)),
green(line(3.75,0,4.75,1)),green(line(4,0,5,1)),
green(line(4.25,0,5.25,1)),green(line(4.5,0,5.5,1)),
green(line(4.75,0,5.75,1)),locate(0.6,0.6,eggplant),
locate(2.2,0.6,planted),locate(3.8,0.6,here),
blue(line(1,0,1,2)),blue(line(2,0,2,2)),
blue(line(3,0,3,2)),blue(line(4,0,4,2))
)}}} {{{5/10}}} (five thenths) of Eva's garden is planted with eggplant.
As I drew the blue lines,
I made {{{5}}} times as many parts out of the planted area,
and I made {{{5}}} times as many parts out of the whole garden.
{{{1/2=1*5/(2*5)=5/10}}}
The numerator (1) of the fraction 1/2,
and the denominator (2) of the fraction 1/2,
got multiplied by the same number (5).
As a consequence, the fraction looks different, but it is the same number,
just like saying 6 eggs is the same as saying half a dozen eggs.