Question

Calculati : $10 \frac{1}{24}+ ( 7 \frac{1}{2}*2 \frac{2}{3} - 12 \frac{1}{4} : \frac{7}{9} )$

Answer 1

10 intregi si 1 / 24 = ( 10 × 24 + 1 ) / 24 = 241 / 24 
7 intregi si 1 / 2 = ( 7 × 2 + 1) / 2 = 15 / 2 
2 intregi si 2 / 3 = ( 2 × 3 + 2) / 3 = 8 / 3
12 intregi si 1 / 4 = ( 12 × 4 + 1 ) / 4 = 49 / 4 


241 / 24 + ( 15 / 2 × 8 / 3 - 49 / 4 × 9 / 7 ) = 

= 241 / 24 + ( 20 / 1 - 63 / 4 ) =

= 241 / 24 + ( 80 / 4 - 63 / 4) =

= 241 / 24 + 17 / 4 =

= 241 / 24 + 102 / 24 =

= 343 / 24 = 14 intregi si 7 / 24