What Divided by 4 Equals 66?
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 4, equals 66?
Solving What Divided by 4 Equals 66
Here’s how you would set up this question as an equation:
x
4
=
66
\frac{x}{4} = 66
4 x = 66
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 4, resulting in this equation:
x
=
66
∗
4
x = 66*4
x = 66 ∗ 4
Then we simplify and find our answer:
x
=
264
x = 264
x = 264
So, the answer to the question “What divided by 4 equals 66?” is 264.To prove this, we can take the original problem:
x
4
=
66
\frac{x}{4} = 66
4 x = 66
And insert 264 in the place of x:
264
4
=
66
\frac{264}{4} = 66
4 264 = 66
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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98 divided by what equals 5?
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What is 11/13 divided by 1/12?
What is 36 divided by 8/16?