Are you struggling with verifying equations that involve fractions? Don’t worry, we’ve got you covered! In this step-by-step guide, we will walk you through the process of verifying equations with fractions. So let’s dive in!

Step 1: Understand the equation

The first step in verifying equations with fractions is to understand the equation itself. Take a moment to review the equation and identify the fraction(s) involved.

Step 2: Find a common denominator

When dealing with equations that have different fractions, it is crucial to find a common denominator. This will allow us to perform operations on the fractions easily. Determine the least common multiple (LCM) of the denominators of the fractions involved. This will be our common denominator.

Step 3: Multiply both sides by the common denominator

To eliminate the fractions, we need to multiply both sides of the equation by the common denominator. Ensure that you apply the multiplication to both the numerator and the denominator of each fraction in the equation.

Step 4: Simplify the equation

After multiplying both sides by the common denominator, it’s time to simplify the equation. Distribute and combine like terms, and simplify both sides as much as possible.

Step 5: Solve the simplified equation

Now that we have a simplified equation without fractions, it’s time to solve it. Use algebraic methods, such as isolating the variable or applying the appropriate operations, to find the value of the unknown variable.

Step 6: Check the solution

Once you have a solution for the unknown variable, it’s crucial to check whether it satisfies the original equation. Substitute the value you found into the original equation and evaluate both sides. If both sides are equal, then you have successfully verified the equation.

Step 7: Write the final answer

If your solution passes the verification step, write down your final answer. Make sure to mention that the equation has been verified with fractions and indicate the value of the unknown variable.

Verifying equations with fractions may seem daunting at first, but by following these step-by-step instructions, you can tackle any equation confidently. Remember to understand the equation, find a common denominator, multiply both sides by the common denominator, simplify the equation, solve it, and finally check the solution. With practice, you’ll become more comfortable in verifying equations with fractions. Happy math solving!

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