49 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 49 by to equal 78?
Solving 49 Divided by What Equals 78
Here’s how you would set up this question as an equation:
49
x
=
78
\frac{49}{x} = 78
x 49 = 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 49:
49
=
78
∗
x
49 = 78*x
49 = 78 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 78:
49
78
=
x
\frac{49}{78} = x
78 49 = 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
=
0.628
x = 0.628
x = 0.628
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 59 equals 7?
92 divided by what equals 82?
What is 6/5 divided by 80?
What is 2/1 divided by 11/8?
What is 2 divided by 16/7?