31 Divided by What Equals 97?
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 31 by to equal 97?
Solving 31 Divided by What Equals 97
Here’s how you would set up this question as an equation:
31
x
=
97
\frac{31}{x} = 97
x 31 = 97
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 31:
31
=
97
∗
x
31 = 97*x
31 = 97 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 97:
31
97
=
x
\frac{31}{97} = x
97 31 = 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
=
0.320
x = 0.320
x = 0.320
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 11 equals 62?
29 divided by what equals 37?
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What is 8/10 divided by 2/15?
What is 76 divided by 16/11?