What Divided by 78 Equals 4?
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 78, equals 4?
Solving What Divided by 78 Equals 4
Here’s how you would set up this question as an equation:
x
78
=
4
\frac{x}{78} = 4
78 x = 4
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 78, resulting in this equation:
x
=
4
∗
78
x = 4*78
x = 4 ∗ 78
Then we simplify and find our answer:
x
=
312
x = 312
x = 312
So, the answer to the question “What divided by 78 equals 4?” is 312.To prove this, we can take the original problem:
x
78
=
4
\frac{x}{78} = 4
78 x = 4
And insert 312 in the place of x:
312
78
=
4
\frac{312}{78} = 4
78 312 = 4
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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24 divided by what equals 41?
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What is 3/4 divided by 5/12?
What is 36 divided by 17/19?