What Divided by 7 Equals 75?
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 7, equals 75?
Solving What Divided by 7 Equals 75
Here’s how you would set up this question as an equation:
x
7
=
75
\frac{x}{7} = 75
7 x = 75
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 7, resulting in this equation:
x
=
75
∗
7
x = 75*7
x = 75 ∗ 7
Then we simplify and find our answer:
x
=
525
x = 525
x = 525
So, the answer to the question “What divided by 7 equals 75?” is 525.To prove this, we can take the original problem:
x
7
=
75
\frac{x}{7} = 75
7 x = 75
And insert 525 in the place of x:
525
7
=
75
\frac{525}{7} = 75
7 525 = 75
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 85 equals 5?
6 divided by what equals 89?
What is 6/4 divided by 77?
What is 15/13 divided by 1/3?
What is 71 divided by 14/18?