What divided by 7/8 equals 7/4?

Here we will show you how to calculate "what" in this sentence: "What divided by 7/8 equals 7/4?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (7/8) = (7/4)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (7/8) on both sides like this:

(x / (7/8)) • 7/8 = (7/4) • (7/8)

(x / (7/8)) • 7/8 leaves x and (7/4) • (7/8) is 1 17/32 which means we end up with this x = 1 17/32. Therefore, the answer to "What divided by 7/8 equals 7/4?" is as follows:

1 17/32

It is always good to double-check your math to make sure you did it right. When we entered 1 17/32 for x in this equation x / (7/8) = (7/4), we get the following true equation which means our math is correct.

(1 17/32) / (7/8) = (7/4)

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