What Divided by 6 Equals 7?
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 7?
Solving What Divided by 6 Equals 7
Here’s how you would set up this question as an equation:
x
6
=
7
\frac{x}{6} = 7
6 x = 7
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
=
7
∗
6
x = 7*6
x = 7 ∗ 6
Then we simplify and find our answer:
x
=
42
x = 42
x = 42
So, the answer to the question “What divided by 6 equals 7?” is 42.To prove this, we can take the original problem:
x
6
=
7
\frac{x}{6} = 7
6 x = 7
And insert 42 in the place of x:
42
6
=
7
\frac{42}{6} = 7
6 42 = 7
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 61 equals 39?
94 divided by what equals 13?
What is 4/20 divided by 12?
What is 3/8 divided by 10/18?
What is 11 divided by 11/14?