What Divided by 5 Equals 83?
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 5, equals 83?
Solving What Divided by 5 Equals 83
Here’s how you would set up this question as an equation:
x
5
=
83
\frac{x}{5} = 83
5 x = 83
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 5, resulting in this equation:
x
=
83
∗
5
x = 83*5
x = 83 ∗ 5
Then we simplify and find our answer:
x
=
415
x = 415
x = 415
So, the answer to the question “What divided by 5 equals 83?” is 415.To prove this, we can take the original problem:
x
5
=
83
\frac{x}{5} = 83
5 x = 83
And insert 415 in the place of x:
415
5
=
83
\frac{415}{5} = 83
5 415 = 83
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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What is 10 divided by 4/7?