45 Divided by What Equals 78?
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 45 by to equal 78?
Solving 45 Divided by What Equals 78
Here’s how you would set up this question as an equation:
45
x
=
78
\frac{45}{x} = 78
x 45 = 78
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 45:
45
=
78
∗
x
45 = 78*x
45 = 78 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 78:
45
78
=
x
\frac{45}{78} = x
78 45 = 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
=
0.577
x = 0.577
x = 0.577
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 25 equals 76?
66 divided by what equals 90?
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What is 15/2 divided by 4/9?
What is 37 divided by 19/18?