how do I solve this

Question

  1              1

 ---       1  ----

  2              2

------  = -------

  10            ?

Answer 1

there are different ways to solve the problem

using equal fractions

(1/2)/10=(1 1/2)/?

(1/2)/10=(3/2)/?

(1/2)*3=3/2 so 10*3=30

 

cross multiply

(1/2)*(?)=10*(1 1/2)

(1/2)*(?)=15

multiply both sides by 2

2(1/2)*?=2*15

1*?=30

?=30

 

simplify so there are no complex fractions

(1/2)/10=1/20

(1 1/2)/?=(3/2)/?=3/2?

1/20=3/2?

1/20=3/60 so 3/60=3/2?

60=2?

60/2=?

30=?