76 Divided by What Equals 56?
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 76 by to equal 56?
Solving 76 Divided by What Equals 56
Here’s how you would set up this question as an equation:
76
x
=
56
\frac{76}{x} = 56
x 76 = 56
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 76:
76
=
56
∗
x
76 = 56*x
76 = 56 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 56:
76
56
=
x
\frac{76}{56} = x
56 76 = 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
=
1.357
x = 1.357
x = 1.357
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 17 equals 59?
40 divided by what equals 3?
What is 7/9 divided by 33?
What is 12/11 divided by 1/8?
What is 49 divided by 18/15?