What Divided by 26 Equals 14?
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 26, equals 14?
Solving What Divided by 26 Equals 14
Here’s how you would set up this question as an equation:
x
26
=
14
\frac{x}{26} = 14
26 x = 14
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 26, resulting in this equation:
x
=
14
∗
26
x = 14*26
x = 14 ∗ 26
Then we simplify and find our answer:
x
=
364
x = 364
x = 364
So, the answer to the question “What divided by 26 equals 14?” is 364.To prove this, we can take the original problem:
x
26
=
14
\frac{x}{26} = 14
26 x = 14
And insert 364 in the place of x:
364
26
=
14
\frac{364}{26} = 14
26 364 = 14
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 32 equals 46?
70 divided by what equals 86?
What is 13/4 divided by 27?
What is 5/1 divided by 12/15?
What is 77 divided by 17/9?