What Divided by 75 Equals 78?
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 78?
Solving What Divided by 75 Equals 78
Here’s how you would set up this question as an equation:
x
75
=
78
\frac{x}{75} = 78
75 x = 78
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
=
78
∗
75
x = 78*75
x = 78 ∗ 75
Then we simplify and find our answer:
x
=
5850
x = 5850
x = 5850
So, the answer to the question “What divided by 75 equals 78?” is 5850.To prove this, we can take the original problem:
x
75
=
78
\frac{x}{75} = 78
75 x = 78
And insert 5850 in the place of x:
5850
75
=
78
\frac{5850}{75} = 78
75 5850 = 78
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 54 equals 46?
65 divided by what equals 15?
What is 6/20 divided by 68?
What is 14/19 divided by 16/11?
What is 12 divided by 12/9?