`75/13 : 25/104<n< 169/7 xx14/13`
`75/13 xx104/25<n<26`
`24<n<26`
`=>n=25`
`75/13:25/104 < n < 169/7xx14/13`
`75/13xx104/25 < n < [169xx14]/[7xx13]`
`[25xx3xx13xx8]/[13xx25] < n < [13xx13xx7xx2]/[7xx13]`
`3xx8 < n < 13xx2`
`24 < n < 26`
`=>n = 25`
`75/13 : 25/104 < n < 169/7 xx 14/13`
` = 75/13 xx 104/25 < n < 169/7 xx 14/13`
` = 24 < n < 26`
`=> x = 25`
Vậy số tự nhiên cần tìm là: `25`
\(\dfrac{75}{13}:\dfrac{25}{104}=\dfrac{75}{13}x\dfrac{104}{25}=\dfrac{25x3x8x13}{13x25}=24\)
\(\dfrac{169}{7}x\dfrac{14}{13}=\dfrac{13x13x7x2}{7x13}=\dfrac{36}{1}=26\)
vậy 24<n<26
vậy n=25