what is -33 over 40

-33/40

 

Can this fraction be simplefied? Lets find out!

 

First we factorize the numerator (top). We see that the digit sum is divisible with three. Therefore the whole number is divisible with three. 

33/3 = 11 

 

11 is a prime number, i.e. it has no other divisors other than one and itself.

The numerator on factorized form is therefore: 3*11

 

Lets factorize the denominator:

Since the last digit is 0, it must be divisible with 10 which equals 2*5

40/10 =4

 

The two last divisors must be 2 and 2.

OK, 40 on factorized form is: 2*2*2*5

 

We see that the numerator and denominator have no common divisors. Therefore -33/40 can't be simplefied.