What Divided by 7 Equals 55?
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 55?
Solving What Divided by 7 Equals 55
Here’s how you would set up this question as an equation:
x
7
=
55
\frac{x}{7} = 55
7 x = 55
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
=
55
∗
7
x = 55*7
x = 55 ∗ 7
Then we simplify and find our answer:
x
=
385
x = 385
x = 385
So, the answer to the question “What divided by 7 equals 55?” is 385.To prove this, we can take the original problem:
x
7
=
55
\frac{x}{7} = 55
7 x = 55
And insert 385 in the place of x:
385
7
=
55
\frac{385}{7} = 55
7 385 = 55
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 89 equals 35?
49 divided by what equals 68?
What is 3/11 divided by 67?
What is 18/5 divided by 2/6?
What is 17 divided by 17/16?