What Divided by 7 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 7, equals 67?
Solving What Divided by 7 Equals 67
Here’s how you would set up this question as an equation:
x
7
=
67
\frac{x}{7} = 67
7 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 7, resulting in this equation:
x
=
67
∗
7
x = 67*7
x = 67 ∗ 7
Then we simplify and find our answer:
x
=
469
x = 469
x = 469
So, the answer to the question “What divided by 7 equals 67?” is 469.To prove this, we can take the original problem:
x
7
=
67
\frac{x}{7} = 67
7 x = 67
And insert 469 in the place of x:
469
7
=
67
\frac{469}{7} = 67
7 469 = 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 1 equals 74?
84 divided by what equals 95?
What is 2/14 divided by 27?
What is 12/17 divided by 13/9?
What is 67 divided by 16/1?