Subjects algebra

Simplify Fraction 48220B

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1. The problem is to simplify the fraction $\frac{30}{4000000}$. 2. The formula for simplifying fractions is to divide the numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 30 and 4000000. 4. Prime factorization of 30 is $2 \times 3 \times 5$. 5. Prime factorization of 4000000 is $2^7 \times 5^6$. 6. The common factors are $2$ and $5$, so the GCD is $2 \times 5 = 10$. 7. Divide numerator and denominator by 10: $$\frac{30 \div 10}{4000000 \div 10} = \frac{3}{400000}$$ 8. The simplified fraction is $\frac{3}{400000}$.