Given:
[tex]\frac{36}{45}[/tex]To express this fraction in simplest form, divide both the denominator and numerator by their highest common factor.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 45 = 1, 3, 5, 9, 15, and 45
Common factors of 36 and 45 = 1, 3, and 9
The highest common factor is 9.
Divide both numerator and denominator by 9:
[tex]\frac{36\div9}{45\div9}\text{ = }\frac{4}{5}[/tex]ANSWER:
[tex]\frac{4}{5}[/tex]