Math Tutor Explains: What Divided by 8 Equals 51?

As your math tutor, I’m here to guide you through this! "What divided by 8 equals 51?" In this problem, we’re trying to determine the original number that, when divided into 51 equal parts, results in 8. Let’s break it down step by step!

Math tutor helps solve: hat Divided by 8 Equals 51?

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 8, equals 51?

Math Tutor Helps Solve: What Divided by 8 Equals 51

Here’s how you would set up this question as an equation:

x8=51\frac{x}{8} = 51

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 8, resulting in this equation:

x=518x = 51*8

Then we simplify and find our answer:

x=408x = 408

So, the answer to the question “What divided by 8 equals 51?” is 408.To prove this, we can take the original problem:

x8=51\frac{x}{8} = 51

And insert 408 in the place of x:

4088=51\frac{408}{8} = 51

Because this is true, the answer must be correct.

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