8/5 divided by what equals 7/6?

Here we will show you how to calculate "what" in this sentence: "8/5 divided by what equals 7/6?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(8/5) / x = (7/6)

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

((8/5) / x)x = (7/6)x

Which equals:

(8/5) = (7/6)x

Then we divide each side by 7/6 to like this:

(8/5) / (7/6) = ((7/6)x) / (7/6)

(8/5) / (7/6) is 1 13/35 and ((7/6)x) / (7/6) leaves x which means we end up with x = 1 13/35. Therefore, the answer to "8/5 divided by what equals 7/6?" is as follows:

1 13/35

It is always good to double-check your math to make sure you did it right. When we entered 1 13/35 for x in this equation (8/5) / x = (7/6), we get the following true equation which means our math is correct.

(8/5) / (1 13/35) = (7/6)

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