In a class,1/2 of the male students and 2/3 of the female students speak Frenc. If there are 3/4 as many girls as boys,what fraction of the entire class speaks Frenc?
Let the number of boys = B
Then the number of girls = (3/4)B
(1/2) of the boys = (1/2)B
(2/3) of the girls =(2/3)(3/4)B = (1/2) B
So the fraction that speak French =
B [ 1/2 + 1/2 ] 1
____________ = ______ = 4 / 7
B [ 1 + 3/4 ] (7/4)
