What Divided by 2 Equals 7?
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 2, equals 7?
Solving What Divided by 2 Equals 7
Here’s how you would set up this question as an equation:
x
2
=
7
\frac{x}{2} = 7
2 x = 7
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 2, resulting in this equation:
x
=
7
∗
2
x = 7*2
x = 7 ∗ 2
Then we simplify and find our answer:
x
=
14
x = 14
x = 14
So, the answer to the question “What divided by 2 equals 7?” is 14.To prove this, we can take the original problem:
x
2
=
7
\frac{x}{2} = 7
2 x = 7
And insert 14 in the place of x:
14
2
=
7
\frac{14}{2} = 7
2 14 = 7
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 74 equals 77?
46 divided by what equals 78?
What is 14/7 divided by 89?
What is 18/15 divided by 16/11?
What is 35 divided by 3/12?