What Divided by 6 Equals 49?
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 6, equals 49?
Solving What Divided by 6 Equals 49
Here’s how you would set up this question as an equation:
x
6
=
49
\frac{x}{6} = 49
6 x = 49
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 6, resulting in this equation:
x
=
49
∗
6
x = 49*6
x = 49 ∗ 6
Then we simplify and find our answer:
x
=
294
x = 294
x = 294
So, the answer to the question “What divided by 6 equals 49?” is 294.To prove this, we can take the original problem:
x
6
=
49
\frac{x}{6} = 49
6 x = 49
And insert 294 in the place of x:
294
6
=
49
\frac{294}{6} = 49
6 294 = 49
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 98 equals 21?
50 divided by what equals 92?
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What is 14/5 divided by 17/3?
What is 10 divided by 9/18?