1/4 times what equals 4/5?

Here we will show you how to calculate "what" in this sentence: "1/4 times what equals 4/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/4) • (x) = (4/5)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/4 on both sides like this:

((1/4) • (x)) / (1/4) = (4/5) / (1/4)

((1/4) • (x)) / (1/4) leaves x and (4/5) / (1/4) is 3 1/5 which means we end up with this x = 3 1/5. Therefore, the answer to "1/4 times what equals 4/5?" is as follows:

3 1/5

It is always good to double-check your math to make sure you did it right. When we entered 3 1/5 for x in this equation (1/4) • (x) = (4/5), we get the following true equation which means our math is correct.

(1/4) • (3 1/5) = (4/5)

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