49 Divided by What Equals 16?
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 16?
Solving 49 Divided by What Equals 16
Here’s how you would set up this question as an equation:
49
x
=
16
\frac{49}{x} = 16
x 49 = 16
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
=
16
∗
x
49 = 16*x
49 = 16 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 16:
49
16
=
x
\frac{49}{16} = x
16 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
=
3.063
x = 3.063
x = 3.063
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 66 equals 92?
97 divided by what equals 13?
What is 5/6 divided by 24?
What is 16/18 divided by 8/14?
What is 7 divided by 20/7?