What Divided by 8 Equals 77?
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 8, equals 77?
Solving What Divided by 8 Equals 77
Here’s how you would set up this question as an equation:
x
8
=
77
\frac{x}{8} = 77
8 x = 77
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 8, resulting in this equation:
x
=
77
∗
8
x = 77*8
x = 77 ∗ 8
Then we simplify and find our answer:
x
=
616
x = 616
x = 616
So, the answer to the question “What divided by 8 equals 77?” is 616.To prove this, we can take the original problem:
x
8
=
77
\frac{x}{8} = 77
8 x = 77
And insert 616 in the place of x:
616
8
=
77
\frac{616}{8} = 77
8 616 = 77
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 34 equals 68?
97 divided by what equals 84?
What is 7/4 divided by 38?
What is 2/5 divided by 20/3?
What is 76 divided by 1/6?