3/4 is added to x, the result is 9/8 . What is the value of x?

Mathematics · Middle School · Tue Nov 03 2020

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The problem can be equated as 3/4 + x= 9/8. To solve the value of x, add x and ¾ then divide both sides of the equation by ¾.
3/4 + x= 9/8
3/4x= 9/8
Divide the both sides of the equation by ¾
3/4x / ¾ = 9/8 / ¾
x  = 9/8 / ¾
To divide 9/8 and ¾, get the reciprocal value of ¾ first then multiply 9/8 by the reciprocal value.
x  = 9/8 / ¾
x  = 9/8 * 4/3
x  = 9*4 / 8*3
x  = 36/24
Simplify using the common factor 12
x  = 12* 3/12*2
x  = 3/2.