10 Divided by What Equals 46?
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 10 by to equal 46?
Solving 10 Divided by What Equals 46
Here’s how you would set up this question as an equation:
10
x
=
46
\frac{10}{x} = 46
x 10 = 46
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 10:
10
=
46
∗
x
10 = 46*x
10 = 46 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 46:
10
46
=
x
\frac{10}{46} = x
46 10 = 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
=
0.217
x = 0.217
x = 0.217
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 29 equals 21?
26 divided by what equals 33?
What is 7/11 divided by 46?
What is 8/2 divided by 15/20?
What is 87 divided by 17/19?