82 Divided by What 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 can we divide 82 by to equal 77?
Solving 82 Divided by What Equals 77
Here’s how you would set up this question as an equation:
82
x
=
77
\frac{82}{x} = 77
x 82 = 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, it can be done in two steps. The first step is to multiply both sides by x to isolate 82:
82
=
77
∗
x
82 = 77*x
82 = 77 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 77:
82
77
=
x
\frac{82}{77} = x
77 82 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
1.065
x = 1.065
x = 1.065
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 45 equals 99?
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What is 3/4 divided by 2/13?
What is 92 divided by 16/20?