What Divided by 52 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 52, equals 7?
Solving What Divided by 52 Equals 7
Here’s how you would set up this question as an equation:
x
52
=
7
\frac{x}{52} = 7
52 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 52, resulting in this equation:
x
=
7
∗
52
x = 7*52
x = 7 ∗ 52
Then we simplify and find our answer:
x
=
364
x = 364
x = 364
So, the answer to the question “What divided by 52 equals 7?” is 364.To prove this, we can take the original problem:
x
52
=
7
\frac{x}{52} = 7
52 x = 7
And insert 364 in the place of x:
364
52
=
7
\frac{364}{52} = 7
52 364 = 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 68 equals 33?
49 divided by what equals 45?
What is 5/7 divided by 74?
What is 9/6 divided by 15/4?
What is 71 divided by 11/12?