if x : y = 1 3/4 : 2/3 and x : z = 1 3/7 : 5/6
a) simplify x : y and x : z
b) x : y : z
a) simplify x : y and x : z
b) x : y : z
x : y
= 1 3/4 : 2/3
= 7/4 : 2/3
= 7/4 x 3/2
= 21/8
= 2 5/8
x : z
= 1 3/7 : 5/6
= 10/7 : 5/6
= 10/7 x 6/5
= 2/7 x 6/1
= 12/7
= 1 5/7
x : y : z
= 1 3/4 : 2/3 : 5/6
= 7/4 : 2/3 : 5/6
= 7/4 x 3/2 x 6/5
= 7/4 x 3/1 x 3/5
= 21/4 x 3/5
= 63/20
= 3 3/20
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