What Divided by 81 Equals 71?
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, when divided by 81, equals 71?
Solving What Divided by 81 Equals 71
Here’s how you would set up this question as an equation:
x
81
=
71
\frac{x}{81} = 71
81 x = 71
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, we can do that by multiplying both sides of the equation by 81, resulting in this equation:
x
=
71
∗
81
x = 71*81
x = 71 ∗ 81
Then we simplify and find our answer:
x
=
5751
x = 5751
x = 5751
So, the answer to the question “What divided by 81 equals 71?” is 5751.To prove this, we can take the original problem:
x
81
=
71
\frac{x}{81} = 71
81 x = 71
And insert 5751 in the place of x:
5751
81
=
71
\frac{5751}{81} = 71
81 5751 = 71
Because this is true, the answer must be correct.
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 21 equals 37?
22 divided by what equals 11?
What is 13/3 divided by 65?
What is 12/15 divided by 19/8?
What is 80 divided by 2/18?