What Divided by 6 Equals 69?
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 6, equals 69?
Solving What Divided by 6 Equals 69
Here’s how you would set up this question as an equation:
x
6
=
69
\frac{x}{6} = 69
6 x = 69
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 6, resulting in this equation:
x
=
69
∗
6
x = 69*6
x = 69 ∗ 6
Then we simplify and find our answer:
x
=
414
x = 414
x = 414
So, the answer to the question “What divided by 6 equals 69?” is 414.To prove this, we can take the original problem:
x
6
=
69
\frac{x}{6} = 69
6 x = 69
And insert 414 in the place of x:
414
6
=
69
\frac{414}{6} = 69
6 414 = 69
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 20 equals 4?
1 divided by what equals 57?
What is 17/20 divided by 99?
What is 1/18 divided by 11/4?
What is 46 divided by 8/19?