7/9 divided by what equals 5/4?

Here we will show you how to calculate "what" in this sentence: "7/9 divided by what equals 5/4?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(7/9) / x = (5/4)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((7/9) / x)x = (5/4)x

Which equals:

(7/9) = (5/4)x

Then we divide each side by 5/4 to like this:

(7/9) / (5/4) = ((5/4)x) / (5/4)

(7/9) / (5/4) is 28/45 and ((5/4)x) / (5/4) leaves x which means we end up with x = 28/45. Therefore, the answer to "7/9 divided by what equals 5/4?" is as follows:

28/45

It is always good to double-check your math to make sure you did it right. When we entered 28/45 for x in this equation (7/9) / x = (5/4), we get the following true equation which means our math is correct.

(7/9) / (28/45) = (5/4)

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