Evaluate
47−−89−−137+179\dfrac{4}{7} - \dfrac{-8}{9} - \dfrac{-13}{7} + \dfrac{17}{9}74−9−8−7−13+917
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(47−−137)+(−−89+179)=(4−(−13)7)+(8+179)=(4+137)+(259)=(177)+(259)\Big(\dfrac{4}{7} - \dfrac{-13}{7}\Big) + \Big(-\dfrac{-8}{9} + \dfrac{17}{9}\Big)\\[1em] =\Big(\dfrac{4 - (-13)}{7}\Big) + \Big(\dfrac{8 + 17}{9}\Big)\\[1em] =\Big(\dfrac{4 + 13}{7}\Big) + \Big(\dfrac{25}{9}\Big)\\[1em] =\Big(\dfrac{17}{7}\Big) + \Big(\dfrac{25}{9}\Big)(74−7−13)+(−9−8+917)=(74−(−13))+(98+17)=(74+13)+(925)=(717)+(925)
LCM of 7 and 9 is 3 x 3 x 7 = 63
=17×97×9+25×79×7=15363+17563=153+17563=32863=51363=\dfrac{17 \times 9}{7 \times 9} + \dfrac{25 \times 7}{9 \times 7}\\[1em] =\dfrac{153}{63} + \dfrac{175}{63}\\[1em] =\dfrac{153 + 175}{63}\\[1em] =\dfrac{328}{63}\\[1em] =5\dfrac{13}{63}=7×917×9+9×725×7=63153+63175=63153+175=63328=56313
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