Answer :

To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.

to simplify the given fraction [tex] \frac{15}{100} [/tex] we have to divide both numerator and denominator by the highest common factor

the factors for both 15 and 100 are as follows

15 - 1, 3, 5, 15

100 - 1, 2, 4, 5, 10, 20, 25, 50, 100

from the factors given for both 15 and 100, the highest factor common for both is 5.

therefore we have to divide both numerator and denominator by 5

[tex] \frac{15/5}{100/5} = \frac{3}{20} [/tex]

the simplest form for the fraction is [tex] \frac{3}{20} [/tex]