What Divided by 4 Equals 27?
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 27?
Solving What Divided by 4 Equals 27
Here’s how you would set up this question as an equation:
x
4
=
27
\frac{x}{4} = 27
4 x = 27
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
=
27
∗
4
x = 27*4
x = 27 ∗ 4
Then we simplify and find our answer:
x
=
108
x = 108
x = 108
So, the answer to the question “What divided by 4 equals 27?” is 108.To prove this, we can take the original problem:
x
4
=
27
\frac{x}{4} = 27
4 x = 27
And insert 108 in the place of x:
108
4
=
27
\frac{108}{4} = 27
4 108 = 27
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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76 divided by what equals 36?
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