Rational numbers
Number systems · Mathematics
Study notes
Q: Show 0.666... is rational by writing it as a fraction. Step 1: Let x = 0.666... Step 2: Multiply by 10: 10x = 6.666... Step 3: Subtract: 10x − x = 6.666... − 0.666... → 9x = 6. Step 4: x = 6/9 = 2/3. So 0.666... = 2/3, a rational number.