What Divided by 5 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 5, equals 77?
Solving What Divided by 5 Equals 77
Here’s how you would set up this question as an equation:
x
5
=
77
\frac{x}{5} = 77
5 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 5, resulting in this equation:
x
=
77
∗
5
x = 77*5
x = 77 ∗ 5
Then we simplify and find our answer:
x
=
385
x = 385
x = 385
So, the answer to the question “What divided by 5 equals 77?” is 385.To prove this, we can take the original problem:
x
5
=
77
\frac{x}{5} = 77
5 x = 77
And insert 385 in the place of x:
385
5
=
77
\frac{385}{5} = 77
5 385 = 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 20 equals 8?
46 divided by what equals 41?
What is 1/11 divided by 27?
What is 20/15 divided by 17/9?
What is 97 divided by 3/18?