What Divided by 77 Equals 9?
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 77, equals 9?
Solving What Divided by 77 Equals 9
Here’s how you would set up this question as an equation:
x
77
=
9
\frac{x}{77} = 9
77 x = 9
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 77, resulting in this equation:
x
=
9
∗
77
x = 9*77
x = 9 ∗ 77
Then we simplify and find our answer:
x
=
693
x = 693
x = 693
So, the answer to the question “What divided by 77 equals 9?” is 693.To prove this, we can take the original problem:
x
77
=
9
\frac{x}{77} = 9
77 x = 9
And insert 693 in the place of x:
693
77
=
9
\frac{693}{77} = 9
77 693 = 9
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 84 equals 48?
32 divided by what equals 46?
What is 14/17 divided by 27?
What is 5/7 divided by 15/6?
What is 10 divided by 8/2?