What Divided by 7 Equals 46?
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 46?
Solving What Divided by 7 Equals 46
Here’s how you would set up this question as an equation:
x
7
=
46
\frac{x}{7} = 46
7 x = 46
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
=
46
∗
7
x = 46*7
x = 46 ∗ 7
Then we simplify and find our answer:
x
=
322
x = 322
x = 322
So, the answer to the question “What divided by 7 equals 46?” is 322.To prove this, we can take the original problem:
x
7
=
46
\frac{x}{7} = 46
7 x = 46
And insert 322 in the place of x:
322
7
=
46
\frac{322}{7} = 46
7 322 = 46
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 20 equals 38?
8 divided by what equals 1?
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What is 15/4 divided by 6/20?
What is 5 divided by 8/2?