What Divided by 96 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, when divided by 96, equals 75?
Solving What Divided by 96 Equals 75
Here’s how you would set up this question as an equation:
x
96
=
75
\frac{x}{96} = 75
96 x = 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, we can do that by multiplying both sides of the equation by 96, resulting in this equation:
x
=
75
∗
96
x = 75*96
x = 75 ∗ 96
Then we simplify and find our answer:
x
=
7200
x = 7200
x = 7200
So, the answer to the question “What divided by 96 equals 75?” is 7200.To prove this, we can take the original problem:
x
96
=
75
\frac{x}{96} = 75
96 x = 75
And insert 7200 in the place of x:
7200
96
=
75
\frac{7200}{96} = 75
96 7200 = 75
Because this is true, the answer must be correct.
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 86 equals 76?
51 divided by what equals 64?
What is 10/9 divided by 10?
What is 2/15 divided by 5/13?
What is 36 divided by 6/11?