Question: User: 8\div 1.2
1. **State the problem:** We need to calculate the value of $8 \div 1.2$.
2. **Recall the division rule:** Dividing by a decimal can be simplified by multiplying numerator and denominator by the same power of 10 to make the divisor a whole number.
3. **Rewrite the division:**
$$8 \div 1.2 = \frac{8}{1.2}$$
Multiply numerator and denominator by 10:
$$\frac{8 \times 10}{1.2 \times 10} = \frac{80}{12}$$
4. **Simplify the fraction:**
Find the greatest common divisor (GCD) of 80 and 12, which is 4.
$$\frac{\cancel{4} \times 20}{\cancel{4} \times 3} = \frac{20}{3}$$
5. **Convert to decimal:**
$$\frac{20}{3} = 6.666\ldots$$ (repeating 6)
6. **Final answer:**
$$8 \div 1.2 = \frac{20}{3} = 6.666\ldots$$