Subjects algebra

Fraction Simplification 1Fa165

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1. **State the problem:** Simplify the expression $\frac{22}{294.00}$. 2. **Understand the problem:** We are dividing 22 by 294.00, which is a decimal representation of 294. 3. **Simplify the fraction:** Since 294.00 is equivalent to 294, the expression is $\frac{22}{294}$. 4. **Find the greatest common divisor (GCD):** The GCD of 22 and 294 is 2. 5. **Divide numerator and denominator by the GCD:** $$\frac{22 \div 2}{294 \div 2} = \frac{11}{147}$$ 6. **Convert to decimal (optional):** $$\frac{11}{147} \approx 0.07483$$ 7. **Final answer:** The simplified fraction is $\frac{11}{147}$ and the decimal approximation is approximately 0.07483.