Subjects algebra

Fraction Division F4B8B4

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1. **State the problem:** Simplify the expression $\frac{4}{1.2}$. 2. **Formula and rules:** Division of decimals can be simplified by converting the divisor to a whole number. Multiply numerator and denominator by the same power of 10 to eliminate the decimal. 3. Multiply numerator and denominator by 10 to remove the decimal from 1.2: $$\frac{4}{1.2} = \frac{4 \times 10}{1.2 \times 10} = \frac{40}{12}$$ 4. Simplify the fraction $\frac{40}{12}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 4: $$\frac{\cancel{40}^{10}}{\cancel{12}^3} = \frac{10}{3}$$ 5. The simplified form of $\frac{4}{1.2}$ is $\frac{10}{3}$ or approximately $3.333$.