What Divided by 3 Equals 81?
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 3, equals 81?
Solving What Divided by 3 Equals 81
Here’s how you would set up this question as an equation:
x
3
=
81
\frac{x}{3} = 81
3 x = 81
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 3, resulting in this equation:
x
=
81
∗
3
x = 81*3
x = 81 ∗ 3
Then we simplify and find our answer:
x
=
243
x = 243
x = 243
So, the answer to the question “What divided by 3 equals 81?” is 243.To prove this, we can take the original problem:
x
3
=
81
\frac{x}{3} = 81
3 x = 81
And insert 243 in the place of x:
243
3
=
81
\frac{243}{3} = 81
3 243 = 81
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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34 divided by what equals 17?
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What is 13/12 divided by 19/18?
What is 65 divided by 10/20?