75 Divided by What Equals 84?
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 84?
Solving 75 Divided by What Equals 84
Here’s how you would set up this question as an equation:
75
x
=
84
\frac{75}{x} = 84
x 75 = 84
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
=
84
∗
x
75 = 84*x
75 = 84 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 84:
75
84
=
x
\frac{75}{84} = x
84 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
=
0.893
x = 0.893
x = 0.893
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 64 equals 81?
19 divided by what equals 10?
What is 17/13 divided by 35?
What is 2/15 divided by 10/20?
What is 84 divided by 4/19?