7/9 divided by what equals 4/5?

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

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

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

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

Which equals:

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

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

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

(7/9) / (4/5) is 35/36 and ((4/5)x) / (4/5) leaves x which means we end up with x = 35/36. Therefore, the answer to "7/9 divided by what equals 4/5?" is as follows:

35/36

It is always good to double-check your math to make sure you did it right. When we entered 35/36 for x in this equation (7/9) / x = (4/5), we get the following true equation which means our math is correct.

(7/9) / (35/36) = (4/5)

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