$\frac{}{}$

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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

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