What Divided by 84 Equals 6?
Methods
Setting up the problem:
In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So, we could say what number, x, when divided by 84, equals 6?
Solving What Divided by 84 Equals 6
Here’s how you would set up this question as an equation:
x
84
=
6
\frac{x}{84} = 6
84 x = 6
The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, we can do that by multiplying both sides of the equation by 84, resulting in this equation:
x
=
6
∗
84
x = 6*84
x = 6 ∗ 84
Then we simplify and find our answer:
x
=
504
x = 504
x = 504
So, the answer to the question “What divided by 84 equals 6?” is 504.To prove this, we can take the original problem:
x
84
=
6
\frac{x}{84} = 6
84 x = 6
And insert 504 in the place of x:
504
84
=
6
\frac{504}{84} = 6
84 504 = 6
Because this is true, the answer must be correct.
Practice Other Division Problems Like This One
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
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90 divided by what equals 70?
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What is 18/3 divided by 10/8?
What is 11 divided by 6/12?