Bestimmung des fehlenden Bruches

Question

a) 10/3 * ? = 8

b) ? * 3/5 = 7/10

c) 3/8 +  ?  = 2/3

Answer 1

a) 10/3 * ? = 8       | : (10/3)

? = 8 : (10/3) = 8/1 * 3/10 = (8*3)/10 = (4*3)/5 = 12/5

usw.

b) ? * 3/5 = 7/10      | :(3/5)

? = (7/10) : (3/5) = (7/10) * (5/3) = (7*5)/(10*3) = 7/(2*3) = 7/6 

c) 3/8 +  ?  = 2/3   | - 3/8

? = (2/3) - (3/8) = (16/24) - (9/24) = (16-9)/24 = 7/24

Bitte selber nachrechnen!

Answer 2

a) 10/3 *x = 8

x= 8* 3/10

? = 24/10 (12/5)

Der Rest ist analog