What Divided by 51 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 51, equals 7?
Solving What Divided by 51 Equals 7
Here’s how you would set up this question as an equation:
x
51
=
7
\frac{x}{51} = 7
51 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 51, resulting in this equation:
x
=
7
∗
51
x = 7*51
x = 7 ∗ 51
Then we simplify and find our answer:
x
=
357
x = 357
x = 357
So, the answer to the question “What divided by 51 equals 7?” is 357.To prove this, we can take the original problem:
x
51
=
7
\frac{x}{51} = 7
51 x = 7
And insert 357 in the place of x:
357
51
=
7
\frac{357}{51} = 7
51 357 = 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 55 equals 30?
16 divided by what equals 28?
What is 5/13 divided by 14?
What is 19/3 divided by 7/8?
What is 73 divided by 12/4?