What Divided by 6 Equals 26?
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 26?
Solving What Divided by 6 Equals 26
Here’s how you would set up this question as an equation:
x
6
=
26
\frac{x}{6} = 26
6 x = 26
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
=
26
∗
6
x = 26*6
x = 26 ∗ 6
Then we simplify and find our answer:
x
=
156
x = 156
x = 156
So, the answer to the question “What divided by 6 equals 26?” is 156.To prove this, we can take the original problem:
x
6
=
26
\frac{x}{6} = 26
6 x = 26
And insert 156 in the place of x:
156
6
=
26
\frac{156}{6} = 26
6 156 = 26
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 4 equals 85?
50 divided by what equals 23?
What is 15/19 divided by 54?
What is 13/8 divided by 10/18?
What is 19 divided by 7/4?