55 Divided by What Equals 40?
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 55 by to equal 40?
Solving 55 Divided by What Equals 40
Here’s how you would set up this question as an equation:
55
x
=
40
\frac{55}{x} = 40
x 55 = 40
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 55:
55
=
40
∗
x
55 = 40*x
55 = 40 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 40:
55
40
=
x
\frac{55}{40} = x
40 55 = 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
=
1.375
x = 1.375
x = 1.375
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 62 equals 67?
3 divided by what equals 52?
What is 12/5 divided by 21?
What is 13/18 divided by 11/19?
What is 72 divided by 6/15?