What Divided by 7 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 7, equals 77?
Solving What Divided by 7 Equals 77
Here’s how you would set up this question as an equation:
x
7
=
77
\frac{x}{7} = 77
7 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 7, resulting in this equation:
x
=
77
∗
7
x = 77*7
x = 77 ∗ 7
Then we simplify and find our answer:
x
=
539
x = 539
x = 539
So, the answer to the question “What divided by 7 equals 77?” is 539.To prove this, we can take the original problem:
x
7
=
77
\frac{x}{7} = 77
7 x = 77
And insert 539 in the place of x:
539
7
=
77
\frac{539}{7} = 77
7 539 = 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 97 equals 75?
10 divided by what equals 64?
What is 2/15 divided by 79?
What is 20/10 divided by 5/9?
What is 29 divided by 19/13?