Solving Simple Equations (Part 3)

Introduction:
In this guide, we will discuss how to solve simple equations, specifically focusing on the equation 3m - 4/5 = 1. We will break down the steps required to find the value of the variable 'm' in a clear and concise manner.

Step 1: Simplify the Equation
To begin solving the equation, we need to simplify it by getting rid of any fractions or parentheses. In this case, there is a fraction involved, so we will eliminate it by multiplying both sides of the equation by 5. This step allows us to eliminate the denominator and work with whole numbers.

Step 2: Apply the Multiplication Property of Equality
By multiplying both sides of the equation by 5, we can simplify the equation as follows:

5 * (3m - 4/5) = 5 * 1

Simplifying further, we have:

15m - 4 = 5

Step 3: Isolate the Variable
In this step, we want to isolate the variable 'm' on one side of the equation. To do this, we will add 4 to both sides of the equation to eliminate the constant term (-4) on the left side.

15m - 4 + 4 = 5 + 4

Simplifying, we get:

15m = 9

Step 4: Solve for the Variable
To find the value of 'm', we need to divide both sides of the equation by 15. This step applies the Division Property of Equality.

15m / 15 = 9 / 15

Simplifying further, we have:

m = 9/15

Step 5: Simplify the Fraction
The final step is to simplify the fraction 9/15. We can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case.

m = 9/15 = (9 ÷ 3) / (15 ÷ 3) = 3/5

Conclusion:
After following the above steps, we have found that the value of the variable 'm' in the equation 3m - 4/5 = 1 is m = 3/5. It is important to simplify fractions whenever possible to obtain the simplest form of the solution. By breaking down the equation into steps and applying the properties of equality, we can effectively solve simple equations.