What Divided by 78 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 78, equals 6?
Solving What Divided by 78 Equals 6
Here’s how you would set up this question as an equation:
x
78
=
6
\frac{x}{78} = 6
78 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 78, resulting in this equation:
x
=
6
∗
78
x = 6*78
x = 6 ∗ 78
Then we simplify and find our answer:
x
=
468
x = 468
x = 468
So, the answer to the question “What divided by 78 equals 6?” is 468.To prove this, we can take the original problem:
x
78
=
6
\frac{x}{78} = 6
78 x = 6
And insert 468 in the place of x:
468
78
=
6
\frac{468}{78} = 6
78 468 = 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 52 equals 90?
89 divided by what equals 68?
What is 8/5 divided by 62?
What is 19/15 divided by 14/13?
What is 21 divided by 10/11?