Before WW1, upper and middle class young women were generally chaperoned at social gatherings, but during the war the chaperone custom died out, and in the 1920s, young women were going out dancing etc without chaperones. They wore shorter skirts, bobbed their hair, took to drinking and smoking in public etc. A certain amount of sexual behaviour before marriage became acceptable 'heavy petting' as it was known. Whether all of this really made women more equal though is debatable.
And a subject as complex as this cannot easily be reduced to 2-5 sentences. Few things worth discussing can be.
Some women of this decade made real progress toward placing both genders on an equal footing. These women were shoe manufacturers.