78 Divided by What Equals 13?
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 can we divide 78 by to equal 13?
Solving 78 Divided by What Equals 13
Here’s how you would set up this question as an equation:
78
x
=
13
\frac{78}{x} = 13
x 78 = 13
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, it can be done in two steps. The first step is to multiply both sides by x to isolate 78:
78
=
13
∗
x
78 = 13*x
78 = 13 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 13:
78
13
=
x
\frac{78}{13} = x
13 78 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
6.000
x = 6.000
x = 6.000
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 90 equals 44?
51 divided by what equals 26?
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What is 6/10 divided by 17/5?
What is 6 divided by 15/2?