What Divided by 11 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 11, equals 7?
Solving What Divided by 11 Equals 7
Here’s how you would set up this question as an equation:
x
11
=
7
\frac{x}{11} = 7
11 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 11, resulting in this equation:
x
=
7
∗
11
x = 7*11
x = 7 ∗ 11
Then we simplify and find our answer:
x
=
77
x = 77
x = 77
So, the answer to the question “What divided by 11 equals 7?” is 77.To prove this, we can take the original problem:
x
11
=
7
\frac{x}{11} = 7
11 x = 7
And insert 77 in the place of x:
77
11
=
7
\frac{77}{11} = 7
11 77 = 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 41 equals 91?
29 divided by what equals 25?
What is 17/3 divided by 10?
What is 9/13 divided by 1/6?
What is 86 divided by 5/20?