What Divided by 8 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 8, equals 78?
Solving What Divided by 8 Equals 78
Here’s how you would set up this question as an equation:
x
8
=
78
\frac{x}{8} = 78
8 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 8, resulting in this equation:
x
=
78
∗
8
x = 78*8
x = 78 ∗ 8
Then we simplify and find our answer:
x
=
624
x = 624
x = 624
So, the answer to the question “What divided by 8 equals 78?” is 624.To prove this, we can take the original problem:
x
8
=
78
\frac{x}{8} = 78
8 x = 78
And insert 624 in the place of x:
624
8
=
78
\frac{624}{8} = 78
8 624 = 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 41 equals 47?
51 divided by what equals 9?
What is 5/17 divided by 37?
What is 15/6 divided by 1/12?
What is 27 divided by 16/18?