Question

9/8x16/15x25/24x36/35x49/48x64/63x81/80=?

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Answer 1

\(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)x \(\frac{36}{35}\)x\(\frac{49}{48}\)x\(\frac{64}{63}\)x\(\frac{81}{80}\)

= \(\frac{3x3}{2x4}\)x \(\frac{4x4}{3x5}\)x\(\frac{5x5}{4x6}\)x\(\frac{6x6}{5x7}\)x\(\frac{7x7}{6x8}\)x\(\frac{8x8}{7x9}\)x\(\frac{9x9}{8x10}\)

= \(\frac{3x3x4x4x5x5x6x6x7x7x8x8x9x9}{2x4x3x5x4x6x5x7x6x8x7x9x8x10}\)

=   \(\frac{3x9}{2x10}\)

=   \(\frac{27}{20}\)