What Divided by 6 Equals 19?
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 19?
Solving What Divided by 6 Equals 19
Here’s how you would set up this question as an equation:
x
6
=
19
\frac{x}{6} = 19
6 x = 19
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
=
19
∗
6
x = 19*6
x = 19 ∗ 6
Then we simplify and find our answer:
x
=
114
x = 114
x = 114
So, the answer to the question “What divided by 6 equals 19?” is 114.To prove this, we can take the original problem:
x
6
=
19
\frac{x}{6} = 19
6 x = 19
And insert 114 in the place of x:
114
6
=
19
\frac{114}{6} = 19
6 114 = 19
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 72 equals 68?
35 divided by what equals 45?
What is 13/17 divided by 23?
What is 18/20 divided by 12/11?
What is 44 divided by 5/19?