Everything In Order

You will need a calculator for this puzzle. Place the digits 1 through 9 in increasing order in the boxes, with no other symbols or exponents, so that each equation is true. Some equations involve negative numbers or fractions.


A.   × ÷ ( + ) = 1

B.   ÷ × ( ) + = 1

C.   – ( × ÷ + ) = 2

D.   + × ( – ( ÷ ) ) = 3

E.   ÷ ( ) × ( + ) = 3

F.   + ( × ) ÷ = 8

G.   ÷ ( + ) × = 9

H.   × ( ÷ ) + = 9

I.   ( – ( ( + ) × ) ) ÷ = 13

J.   + ( ( ) × ÷ ) = 15

K.   ( + ( × ) ) ÷ = 15

L.   ( ) × ÷ + = 15

M.   × ( + ) ÷ = 16

N.   ( + ) ÷ ( × ) = 18

O.   × ÷ – ( + ) = 18

P.   ( + ( × ) ) ÷ ( ) = 20


The solutions are here.