Đáp án: $\dfrac{-5}{3}$
Giải thích các bước giải:
Ta có :
$\dfrac{15}{37}$ . `( 38/41 - 74/45 )` `-` $\dfrac{38}{41}$ . `( 15/37 + 82/76 )`
`= 15/37 . 38/41 - 15/37 . 74/45 - 38/41 . 15/37 - 38/41 . 82/76 `
`= ( 15/37 . 38/41 - 15/37 . 38/41 ) + (`$\dfrac{-15}{37}$ . $\dfrac{74}{45}$ ` - ` $\dfrac{38}{41}$ . `82/76` )
`= 0 + ( ( -15/37 ) . 74/45 - 38/41 . 41/38 ) `
`= 0 + (-2/3 - 1) = -5/3`