`3/4 xx 8/9 xx 15/16 xx 24/25 xx 35/36`
`= (3xx8xx15xx24xx35)/(4xx9xx16xx25xx36)`
`=(3xx4xx2xx5xx3xx4xx6xx7xx5)/(4xx3xx3xx4xx4xx5xx5xx6xx6)`
`=(2xx7)/(4xx6)`
`=(2xx7)/(2xx2xx6)`
`=7/12`
\(\dfrac{3}{4}\times\dfrac{8}{9}\times\dfrac{15}{16}\times\dfrac{24}{25}\times\dfrac{35}{36}\)
= \(\dfrac{3\times8\times15\times24\times35}{4\times9\times16\times25\times36}\)
= \(\dfrac{3\times\left(2\times4\text{}\text{}\right)\times\left(3\times5\right)\times\left(6\times4\right)\times\left(5\times7\right)}{4\times\left(3\times3\right)\times\left(4\times4\right)\times\left(5\times5\right)\times\left(6\times6\right)}\)
=\(\dfrac{2\text{}\text{}\times3\times6\times\left(5\times7\right)}{3\times4\times5\times\left(6\times6\right)}\)
=\(\dfrac{\text{}\text{}7}{2\times6}\)= \(\dfrac{7}{12}\)
34× 89×1516×2425×353634× 89×1516×2425×3536
=3×8×15×24×354×9×16×25×36=3×8×15×24×354×9×16×25×36
=3×4×2×5×3×4×6×7×54×3×3×4×4×5×5×6×6=3×4×2×5×3×4×6×7×54×3×3×4×4×5×5×6×6
=2×74×6=2×74×6
=2×72×2×6=2×72×2×6
=712
\(\dfrac{3}{4}\times\dfrac{8}{9}\times\dfrac{15}{16}\times\dfrac{24}{25}\times\dfrac{35}{36}\)
=\(\dfrac{3\times8\times15\times24\times35}{4\times9\times16\times25\times36}\)
=\(\dfrac{7}{12}\)
