What Divided by 7 Equals 74?
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 74?
Solving What Divided by 7 Equals 74
Here’s how you would set up this question as an equation:
x
7
=
74
\frac{x}{7} = 74
7 x = 74
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
=
74
∗
7
x = 74*7
x = 74 ∗ 7
Then we simplify and find our answer:
x
=
518
x = 518
x = 518
So, the answer to the question “What divided by 7 equals 74?” is 518.To prove this, we can take the original problem:
x
7
=
74
\frac{x}{7} = 74
7 x = 74
And insert 518 in the place of x:
518
7
=
74
\frac{518}{7} = 74
7 518 = 74
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 14 equals 71?
23 divided by what equals 27?
What is 6/14 divided by 93?
What is 12/11 divided by 8/16?
What is 97 divided by 15/17?