What Divided by 78 Equals 7?
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 7?
Solving What Divided by 78 Equals 7
Here’s how you would set up this question as an equation:
x
78
=
7
\frac{x}{78} = 7
78 x = 7
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
=
7
∗
78
x = 7*78
x = 7 ∗ 78
Then we simplify and find our answer:
x
=
546
x = 546
x = 546
So, the answer to the question “What divided by 78 equals 7?” is 546.To prove this, we can take the original problem:
x
78
=
7
\frac{x}{78} = 7
78 x = 7
And insert 546 in the place of x:
546
78
=
7
\frac{546}{78} = 7
78 546 = 7
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 65 equals 7?
75 divided by what equals 8?
What is 7/16 divided by 47?
What is 12/8 divided by 5/17?
What is 84 divided by 19/18?