What divided by 3/4 equals 9/4?

Here we will show you how to calculate "what" in this sentence: "What divided by 3/4 equals 9/4?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (3/4) = (9/4)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (3/4) on both sides like this:

(x / (3/4)) • 3/4 = (9/4) • (3/4)

(x / (3/4)) • 3/4 leaves x and (9/4) • (3/4) is 1 11/16 which means we end up with this x = 1 11/16. Therefore, the answer to "What divided by 3/4 equals 9/4?" is as follows:

1 11/16

It is always good to double-check your math to make sure you did it right. When we entered 1 11/16 for x in this equation x / (3/4) = (9/4), we get the following true equation which means our math is correct.

(1 11/16) / (3/4) = (9/4)

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