Question

please help me!
The value of x in the proportion 1/2:2/3 = 3/4:x is...
1
4/9
1 7/9
1/4

Answer 1

ratios can be written as fractions. 1/2 : 2/3 can be written as (1/2) / (2/3).
so set up your proportion, cross multiply, and solve for x

(1/2) / (2/3) = (3/4) / x

Answer 2

do you know how to cross multiply ?

Answer 3

yes

Answer 4

so what did you get when you cross multiplied ?

Answer 5

495/1000 but not sure if that's correct

Answer 6

1/2x = (2/3 * 3/4)
1/2x = 6/12.....now we divide both sides by 1/2
x = (6/12) / (1/2)

do you know how to divide fractions ?

Answer 7

no i don't

Answer 8

(6/12) / (1/2)
to divide fractions, you just flip what you are dividing by, then multiply
6/12 * 2/1 =
12/12 =
1

now lets check our answer..
(1/2) / (2/3) = (3/4) / (1)
sub in 1 for x....and cross multiply
(2/3)(3/4) = (1/2)(1)
6/12 = 1/2
1/2 = 1/2 (correct)

so x = 1

Answer 9

thx:)

Answer 10

anytime :)