What Divided by 40 Equals 7?
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 7?
Solving What Divided by 40 Equals 7
Here’s how you would set up this question as an equation:
x
40
=
7
\frac{x}{40} = 7
40 x = 7
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
=
7
∗
40
x = 7*40
x = 7 ∗ 40
Then we simplify and find our answer:
x
=
280
x = 280
x = 280
So, the answer to the question “What divided by 40 equals 7?” is 280.To prove this, we can take the original problem:
x
40
=
7
\frac{x}{40} = 7
40 x = 7
And insert 280 in the place of x:
280
40
=
7
\frac{280}{40} = 7
40 280 = 7
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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18 divided by what equals 88?
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What is 7/8 divided by 6/18?
What is 49 divided by 14/2?