What Divided by 75 Equals 6?
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 75, equals 6?
Solving What Divided by 75 Equals 6
Here’s how you would set up this question as an equation:
x
75
=
6
\frac{x}{75} = 6
75 x = 6
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 75, resulting in this equation:
x
=
6
∗
75
x = 6*75
x = 6 ∗ 75
Then we simplify and find our answer:
x
=
450
x = 450
x = 450
So, the answer to the question “What divided by 75 equals 6?” is 450.To prove this, we can take the original problem:
x
75
=
6
\frac{x}{75} = 6
75 x = 6
And insert 450 in the place of x:
450
75
=
6
\frac{450}{75} = 6
75 450 = 6
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 31 equals 19?
16 divided by what equals 56?
What is 17/4 divided by 50?
What is 12/15 divided by 13/16?
What is 52 divided by 2/6?