Subjects algebra

Fraction Simplification 362B65

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1. The problem involves simplifying the fraction $\frac{8}{24}$ and comparing it to other fractions and numbers given. 2. Simplify $\frac{8}{24}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 8: $$\frac{8}{24} = \frac{\cancel{8}^1}{\cancel{24}^3} = \frac{1}{3}$$ 3. Next, check the fraction $\frac{1}{4}$ and compare it to $\frac{600}{2400}$: Simplify $\frac{600}{2400}$ by dividing numerator and denominator by 600: $$\frac{600}{2400} = \frac{\cancel{600}^1}{\cancel{2400}^4} = \frac{1}{4}$$ 4. Since $\frac{1}{4} = \frac{600}{2400}$, the statement "$\frac{1}{4} = \frac{600}{2400} > 25$ more" seems to indicate a comparison, but $\frac{1}{4}$ is less than 25. 5. Finally, calculate $4800 \div 3$: $$4800 \div 3 = 1600$$ Summary: - $\frac{8}{24} = \frac{1}{3}$ - $\frac{1}{4} = \frac{600}{2400}$ - $4800 \div 3 = 1600$ The problem mainly involves fraction simplification and division.