What Divided by 6 Equals 57?
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 6, equals 57?
Solving What Divided by 6 Equals 57
Here’s how you would set up this question as an equation:
x
6
=
57
\frac{x}{6} = 57
6 x = 57
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 6, resulting in this equation:
x
=
57
∗
6
x = 57*6
x = 57 ∗ 6
Then we simplify and find our answer:
x
=
342
x = 342
x = 342
So, the answer to the question “What divided by 6 equals 57?” is 342.To prove this, we can take the original problem:
x
6
=
57
\frac{x}{6} = 57
6 x = 57
And insert 342 in the place of x:
342
6
=
57
\frac{342}{6} = 57
6 342 = 57
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 14 equals 78?
73 divided by what equals 49?
What is 17/13 divided by 29?
What is 20/16 divided by 5/1?
What is 89 divided by 19/3?