6 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 6 by to equal 49?
Solving 6 Divided by What Equals 49
Here’s how you would set up this question as an equation:
6
x
=
49
\frac{6}{x} = 49
x 6 = 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 6:
6
=
49
∗
x
6 = 49*x
6 = 49 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 49:
6
49
=
x
\frac{6}{49} = x
49 6 = 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
=
0.122
x = 0.122
x = 0.122
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 81 equals 46?
48 divided by what equals 68?
What is 16/13 divided by 82?
What is 10/18 divided by 12/7?
What is 56 divided by 5/20?