56 Divided by What Equals 66?
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 56 by to equal 66?
Solving 56 Divided by What Equals 66
Here’s how you would set up this question as an equation:
56
x
=
66
\frac{56}{x} = 66
x 56 = 66
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 56:
56
=
66
∗
x
56 = 66*x
56 = 66 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 66:
56
66
=
x
\frac{56}{66} = x
66 56 = 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
=
0.848
x = 0.848
x = 0.848
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 49 equals 3?
16 divided by what equals 90?
What is 4/3 divided by 10?
What is 2/11 divided by 20/1?
What is 97 divided by 17/10?