Solving Equations: 1 và 5/7 x = 2 và 3/6
In this article, we will explore how to solve a specific type of equation involving fractions. The equation in question is:
1 và 5/7 x = 2 và 3/6
To solve this equation, we need to follow a step-by-step approach. Let's break it down together!
Step 1: Simplify the Equation
First, let's simplify the equation by combining the fractions on the left-hand side:
1 và 5/7 x = 1 + 5/7 x
Step 2: Isolate the Variable
Next, we need to isolate the variable x. To do this, we can subtract 1 from both sides of the equation:
5/7 x = 2 và 3/6 - 1
Simplifying further, we get:
5/7 x = 1 và 3/6
Step 3: Cross-Multiply
Now, we can cross-multiply to eliminate the fractions:
5x = 7(1 và 3/6)
Expanding the right-hand side, we get:
5x = 7 + 21/6
Step 4: Simplify and Solve
Simplifying the right-hand side, we get:
5x = 49/6
Now, we can divide both sides by 5 to solve for x:
x = 49/30
And that's the solution! We have successfully solved the equation 1 và 5/7 x = 2 và 3/6.
Conclusion
In this article, we demonstrated a step-by-step approach to solving equations involving fractions. By simplifying the equation, isolating the variable, cross-multiplying, and simplifying, we were able to find the solution to the equation 1 và 5/7 x = 2 và 3/6.
