84 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 84 by to equal 77?
Solving 84 Divided by What Equals 77
Here’s how you would set up this question as an equation:
84
x
=
77
\frac{84}{x} = 77
x 84 = 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 84:
84
=
77
∗
x
84 = 77*x
84 = 77 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 77:
84
77
=
x
\frac{84}{77} = x
77 84 = 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
=
1.091
x = 1.091
x = 1.091
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!
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89 divided by what equals 42?
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What is 11/2 divided by 1/3?
What is 5 divided by 15/7?