75 Divided by What Equals 55?
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 75 by to equal 55?
Solving 75 Divided by What Equals 55
Here’s how you would set up this question as an equation:
75
x
=
55
\frac{75}{x} = 55
x 75 = 55
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 75:
75
=
55
∗
x
75 = 55*x
75 = 55 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 55:
75
55
=
x
\frac{75}{55} = x
55 75 = 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
=
1.364
x = 1.364
x = 1.364
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 27 equals 49?
83 divided by what equals 54?
What is 10/2 divided by 67?
What is 3/14 divided by 6/1?
What is 30 divided by 12/4?