78 Divided by What Equals 49?
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 78 by to equal 49?
Solving 78 Divided by What Equals 49
Here’s how you would set up this question as an equation:
78
x
=
49
\frac{78}{x} = 49
x 78 = 49
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 78:
78
=
49
∗
x
78 = 49*x
78 = 49 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 49:
78
49
=
x
\frac{78}{49} = x
49 78 = 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
=
1.592
x = 1.592
x = 1.592
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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