7 Divided by What Equals 6?
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 can we divide 7 by to equal 6?
Solving 7 Divided by What Equals 6
Here’s how you would set up this question as an equation:
7
x
=
6
\frac{7}{x} = 6
x 7 = 6
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, it can be done in two steps. The first step is to multiply both sides by x to isolate 7:
7
=
6
∗
x
7 = 6*x
7 = 6 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 6:
7
6
=
x
\frac{7}{6} = x
6 7 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
1.167
x = 1.167
x = 1.167
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 6 equals 24?
54 divided by what equals 92?
What is 18/8 divided by 55?
What is 2/4 divided by 6/3?
What is 36 divided by 10/13?