What Divided by 71 Equals 1?
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 1?
Solving What Divided by 71 Equals 1
Here’s how you would set up this question as an equation:
x
71
=
1
\frac{x}{71} = 1
71 x = 1
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
=
1
∗
71
x = 1*71
x = 1 ∗ 71
Then we simplify and find our answer:
x
=
71
x = 71
x = 71
So, the answer to the question “What divided by 71 equals 1?” is 71.To prove this, we can take the original problem:
x
71
=
1
\frac{x}{71} = 1
71 x = 1
And insert 71 in the place of x:
71
71
=
1
\frac{71}{71} = 1
71 71 = 1
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 14 equals 84?
69 divided by what equals 55?
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What is 19/20 divided by 1/8?
What is 80 divided by 6/14?