Chapter 54: Solving Equations with Fractions

✏️ Explanation

To solve equations with fractions, multiply through by the lowest common denominator to clear fractions, then solve normally.

Many real-world problems involve fractional relationships that need solving.

Solve: x/3 + x/6 = 5

Step 1: Find LCD of 3 and 6

LCD = 6

Step 2: Multiply everything by 6

6 × (x/3) + 6 × (x/6) = 6 × 5

Step 3: Simplify

2x + x = 30
3x = 30

Step 4: Solve for x

x = 10

1. Solve: x/2 = 7

2. Solve: x/4 + 3 = 8

3. Solve: 2x/3 = 10

4. Solve: x/5 + x/10 = 3

5. Solve: (x+1)/2 = 4

Clear fractions by multiplying by LCD, then solve as normal equation.