16 Divided by What Equals 75?
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 16 by to equal 75?
Solving 16 Divided by What Equals 75
Here’s how you would set up this question as an equation:
16
x
=
75
\frac{16}{x} = 75
x 16 = 75
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 16:
16
=
75
∗
x
16 = 75*x
16 = 75 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 75:
16
75
=
x
\frac{16}{75} = x
75 16 = 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
=
0.213
x = 0.213
x = 0.213
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 17 equals 23?
56 divided by what equals 60?
What is 3/14 divided by 62?
What is 13/2 divided by 7/5?
What is 37 divided by 17/10?