While reducing the fraction \frac{2000...0x}{3000...0y}, (x,y\ne 0) in which between 2 and x and between 3 and y there are 2020 zeros, Marco ignored the zeros and wrote \frac{2000...0x}{3000...0y}=\frac{2x}{3y} and he got the correct result. Find all values of x and y for which Marco could get the correct result.

While reducing the fraction \frac{2000...0x}{3000...0y}, (x,y\ne 0) in which between 2 and x and between 3 and y there are 2020 zeros, Marco ignored the zeros and wrote \frac{2000...0x}{3000...0y}=\frac{2x}{3y} and he got the correct result. Find all values of x and y for which Marco could get the correct result.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter2: Addition Of Common Fractions And Mixed Numbers

Section: Chapter Questions

Problem 13A: Express these fractions as equivalent fractions having the lowest common denominator. 13....

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