Solving an Equation with Fractions

Solve:

(1/2)x + (1/4) = 3/4

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🔍 Step 1: Understand the Problem

This equation contains fractions, which makes it a bit harder to solve directly. To make it simpler, we will remove the fractions by using the LCM (Least Common Multiple) of the denominators.

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✏️ Step 2: Find the LCM of the Denominators (2 and 4)

Let’s list a few multiples:

Multiples of 2: 2, 4, 6, 8, 10...

Multiples of 4: 4, 8, 12...

👉 The LCM of 2 and 4 is 4

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✏️ Step 3: Multiply Every Term by the LCM

Now multiply every term in the equation by 4 to remove the fractions:

4 × (1/2)x + 4 × (1/4) = 4 × (3/4)

This simplifies to:

2x + 1 = 3

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✏️ Step 4: Solve the New Equation

Now solve:

2x + 1 = 3

Subtract 1 from both sides:

2x = 2

Now divide both sides by 2:

x = 1

✅ Final Answer:

x = 1

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