What Divided by 4 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 4, equals 49?
Solving What Divided by 4 Equals 49
Here’s how you would set up this question as an equation:
x
4
=
49
\frac{x}{4} = 49
4 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 4, resulting in this equation:
x
=
49
∗
4
x = 49*4
x = 49 ∗ 4
Then we simplify and find our answer:
x
=
196
x = 196
x = 196
So, the answer to the question “What divided by 4 equals 49?” is 196.To prove this, we can take the original problem:
x
4
=
49
\frac{x}{4} = 49
4 x = 49
And insert 196 in the place of x:
196
4
=
49
\frac{196}{4} = 49
4 196 = 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 82 equals 74?
38 divided by what equals 75?
What is 12/15 divided by 58?
What is 9/16 divided by 2/8?
What is 46 divided by 18/3?