What Divided by 40 Equals 11?
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 40, equals 11?
Solving What Divided by 40 Equals 11
Here’s how you would set up this question as an equation:
x
40
=
11
\frac{x}{40} = 11
40 x = 11
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 40, resulting in this equation:
x
=
11
∗
40
x = 11*40
x = 11 ∗ 40
Then we simplify and find our answer:
x
=
440
x = 440
x = 440
So, the answer to the question “What divided by 40 equals 11?” is 440.To prove this, we can take the original problem:
x
40
=
11
\frac{x}{40} = 11
40 x = 11
And insert 440 in the place of x:
440
40
=
11
\frac{440}{40} = 11
40 440 = 11
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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72 divided by what equals 17?
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What is 68 divided by 11/12?