What Divided by 19 Equals 1?
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 19, equals 1?
Solving What Divided by 19 Equals 1
Here’s how you would set up this question as an equation:
x
19
=
1
\frac{x}{19} = 1
19 x = 1
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 19, resulting in this equation:
x
=
1
∗
19
x = 1*19
x = 1 ∗ 19
Then we simplify and find our answer:
x
=
19
x = 19
x = 19
So, the answer to the question “What divided by 19 equals 1?” is 19.To prove this, we can take the original problem:
x
19
=
1
\frac{x}{19} = 1
19 x = 1
And insert 19 in the place of x:
19
19
=
1
\frac{19}{19} = 1
19 19 = 1
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 65 equals 95?
17 divided by what equals 21?
What is 3/9 divided by 91?
What is 7/15 divided by 13/11?
What is 50 divided by 8/18?