What Divided by 64 Equals 6?
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 64, equals 6?
Solving What Divided by 64 Equals 6
Here’s how you would set up this question as an equation:
x
64
=
6
\frac{x}{64} = 6
64 x = 6
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 64, resulting in this equation:
x
=
6
∗
64
x = 6*64
x = 6 ∗ 64
Then we simplify and find our answer:
x
=
384
x = 384
x = 384
So, the answer to the question “What divided by 64 equals 6?” is 384.To prove this, we can take the original problem:
x
64
=
6
\frac{x}{64} = 6
64 x = 6
And insert 384 in the place of x:
384
64
=
6
\frac{384}{64} = 6
64 384 = 6
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 99 equals 32?
46 divided by what equals 97?
What is 1/18 divided by 74?
What is 10/12 divided by 11/5?
What is 41 divided by 15/6?