What Divided by 71 Equals 11?
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 71, equals 11?
Solving What Divided by 71 Equals 11
Here’s how you would set up this question as an equation:
x
71
=
11
\frac{x}{71} = 11
71 x = 11
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 71, resulting in this equation:
x
=
11
∗
71
x = 11*71
x = 11 ∗ 71
Then we simplify and find our answer:
x
=
781
x = 781
x = 781
So, the answer to the question “What divided by 71 equals 11?” is 781.To prove this, we can take the original problem:
x
71
=
11
\frac{x}{71} = 11
71 x = 11
And insert 781 in the place of x:
781
71
=
11
\frac{781}{71} = 11
71 781 = 11
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!
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28 divided by what equals 42?
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What is 13/19 divided by 12/9?
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