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how do i solve t*3/4 for t=8/9

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Luca B. eNotes educator | Certified Educator

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You need to perform the multiplication` t*(3/4)` for `t = 8/9` , hence, you need to substitute `8/9` for t, such that:

`(8/9)*(3/4) = (8*3)/(9*4)`

You may write ` 8 = 2*4` and `9 = 3*3` such that:

`(8*3)/(9*4) = (2*3*4)/(3*3*4)`

Reducing duplicate factors yields:

`(8*3)/(9*4) = 2/3`

Hence, performing the multiplication `t*(3/4), t = 8/9,` yields `(8*3)/(9*4) = 2/3.`

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misodko | Student

plug in the value of t and "multiply across." (8/9)*(3/4) = 24/36 which simplifies to 2/3