What Divided by 49 Equals 6?
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 49, equals 6?
Solving What Divided by 49 Equals 6
Here’s how you would set up this question as an equation:
x
49
=
6
\frac{x}{49} = 6
49 x = 6
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 49, resulting in this equation:
x
=
6
∗
49
x = 6*49
x = 6 ∗ 49
Then we simplify and find our answer:
x
=
294
x = 294
x = 294
So, the answer to the question “What divided by 49 equals 6?” is 294.To prove this, we can take the original problem:
x
49
=
6
\frac{x}{49} = 6
49 x = 6
And insert 294 in the place of x:
294
49
=
6
\frac{294}{49} = 6
49 294 = 6
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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72 divided by what equals 50?
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