What Divided by 8 Equals 72?
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 8, equals 72?
Solving What Divided by 8 Equals 72
Here’s how you would set up this question as an equation:
x
8
=
72
\frac{x}{8} = 72
8 x = 72
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 8, resulting in this equation:
x
=
72
∗
8
x = 72*8
x = 72 ∗ 8
Then we simplify and find our answer:
x
=
576
x = 576
x = 576
So, the answer to the question “What divided by 8 equals 72?” is 576.To prove this, we can take the original problem:
x
8
=
72
\frac{x}{8} = 72
8 x = 72
And insert 576 in the place of x:
576
8
=
72
\frac{576}{8} = 72
8 576 = 72
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!
What divided by 24 equals 62?
10 divided by what equals 27?
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What is 12/4 divided by 1/13?
What is 38 divided by 14/5?