Answer:
3/7 represents fraction of Josies invitation which are animal themed.
Step-by-step explanation:
For simplification purpose lets assume total number of invitations Joise made equal to x.
given that out of total cards made by Joise , 15/21 are children party invitation.
⇒ number of children's party invitation = 15/21 of x = 15x/21.
Also given that out of children's party invitation , 3/5 are animal themed.
⇒number of animal themed invitation = 3/5 of number of children's party invitation = 3/5×15x/21 = 45x/105=3x/7
so fraction of josie's invitations which are animal themed = number of animal themed invitation ÷ total number of invitations Joise made
= 3x/7 ÷ x = 3/7
hence 3/7 represents fraction of josies invitation which are animal themed.
you can also directly solve it by multiplying fraction of children's party and given fraction of animal themed that is 15/21 × 3/5 = 3/7