What Divided by 6 Equals 67?
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 67?
Solving What Divided by 6 Equals 67
Here’s how you would set up this question as an equation:
x
6
=
67
\frac{x}{6} = 67
6 x = 67
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
=
67
∗
6
x = 67*6
x = 67 ∗ 6
Then we simplify and find our answer:
x
=
402
x = 402
x = 402
So, the answer to the question “What divided by 6 equals 67?” is 402.To prove this, we can take the original problem:
x
6
=
67
\frac{x}{6} = 67
6 x = 67
And insert 402 in the place of x:
402
6
=
67
\frac{402}{6} = 67
6 402 = 67
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 79 equals 5?
54 divided by what equals 47?
What is 16/7 divided by 74?
What is 3/13 divided by 10/2?
What is 40 divided by 20/18?