$\frac{}{}$

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1. Get the source numerical values

Numerator is -333

Denominator is 33

the source fraction is $\frac{\mathrm{-333}}{\mathrm{33}}$

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2. Calculate the greatest common divisor (GCD) using the Euclidean algorithm
1)
let 33 is a, -333 is b, then:
33 / -333 = 0 ...... 33
remainder is 33, not eq 0, so go on...

2)
let -333 is a, 33 is b, then:
-333 / 33 = -10 ...... -3
remainder is -3, not eq 0, so go on...

3)
let 33 is a, -3 is b, then:
33 / -3 = -11 ...... 0
remainder is 0, eq 0, the Greatest Common Divisor (GCD) of -333 and 33 is -3

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3. Finally

Found GCD of -333 and 33 is -3

$\frac{\mathrm{-333}}{\mathrm{33}}$ = $\frac{\mathrm{-333}}{\mathrm{33}}$ = $\frac{\mathrm{111}}{\mathrm{-11}}$