What Divided by 45 Equals 6?
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 45, equals 6?
Solving What Divided by 45 Equals 6
Here’s how you would set up this question as an equation:
x
45
=
6
\frac{x}{45} = 6
45 x = 6
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 45, resulting in this equation:
x
=
6
∗
45
x = 6*45
x = 6 ∗ 45
Then we simplify and find our answer:
x
=
270
x = 270
x = 270
So, the answer to the question “What divided by 45 equals 6?” is 270.To prove this, we can take the original problem:
x
45
=
6
\frac{x}{45} = 6
45 x = 6
And insert 270 in the place of x:
270
45
=
6
\frac{270}{45} = 6
45 270 = 6
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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94 divided by what equals 30?
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What is 6/3 divided by 7/12?
What is 5 divided by 4/13?