mixed numbers are just a nuisance.
anyway, what is 7 1/4 - 1?
to find x, just divide 9 3/8 by that value.
Because
7 1/4 x - x = (7 1/4 - 1)x = 9 3/8
x = (9 3/8)/(7 1/4 - 1)
7 1/4x-x=9 3/8
2 answers
7 1/4 x - x = 9 3/8
x ( 7 1/4 - 1 ) = 9 3/8
7 1/4 = 7 + 1 / 4 = 28 / 4 + 1 / 4 = 29 / 4
7 1/4 - 1 = 7 1/4 - 4 / 4 = 29 / 4 - 4 / 4 = 25 / 4
9 3/8 = 9 + 3 / 8 = 72 / 8 + 3 / 8 = 75 / 8
x ( 7 1/4 - 1 ) = 9 3/8
x ∙ 25 / 4 = 75 / 8
25 x / 4 = 75 / 8
Cross multiply
25 x ∙ 8 = 75 ∙ 4
200 x = 300
Divide both sides by 200
x = 300 / 200 = 100 ∙ 3 / 100 ∙ 2 = 3 / 2 =
( 2 + 1 ) / 2 = 2 / 2 + 1 / 2 = 1 + 1 / 2 = 1 1/2
x ( 7 1/4 - 1 ) = 9 3/8
7 1/4 = 7 + 1 / 4 = 28 / 4 + 1 / 4 = 29 / 4
7 1/4 - 1 = 7 1/4 - 4 / 4 = 29 / 4 - 4 / 4 = 25 / 4
9 3/8 = 9 + 3 / 8 = 72 / 8 + 3 / 8 = 75 / 8
x ( 7 1/4 - 1 ) = 9 3/8
x ∙ 25 / 4 = 75 / 8
25 x / 4 = 75 / 8
Cross multiply
25 x ∙ 8 = 75 ∙ 4
200 x = 300
Divide both sides by 200
x = 300 / 200 = 100 ∙ 3 / 100 ∙ 2 = 3 / 2 =
( 2 + 1 ) / 2 = 2 / 2 + 1 / 2 = 1 + 1 / 2 = 1 1/2