Solve the given proporation

Question

1 1/5         a

------  = ------

-6 3/7      4 1/6

 

The dashed lines are also divide by.

Answer 1

1 1/5 : -6 3/7 :: a : 4 1/6

6/5 : -45/7 :: a : 25/6           convert to improper fractions

(6/5)(25/6) = (-45/7)a          product means/extremes

150/30 = (-45/7)a                multiply

5 = (-45/7)a                        reduce

35 = -45a                            multiply both sides by 7

-35/45 = a                           divide both sides by -45

-7/8 = a                              reduce