19 Divided by What Equals 10?
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 19 by to equal 10?
Solving 19 Divided by What Equals 10
Here’s how you would set up this question as an equation:
19
x
=
10
\frac{19}{x} = 10
x 19 = 10
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 19:
19
=
10
∗
x
19 = 10*x
19 = 10 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 10:
19
10
=
x
\frac{19}{10} = x
10 19 = 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
=
1.900
x = 1.900
x = 1.900
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 53 equals 96?
92 divided by what equals 38?
What is 4/11 divided by 77?
What is 13/16 divided by 12/20?
What is 26 divided by 10/9?