Question

Calculeaza 6intregi 1pe4+5intregi 2pe3 +1intreg 17pe24 Urgent!!!

Answer 1

Răspuns:  13 intregi si 5/8  

Explicație pas cu pas:

→ introduc intregii in fractie:

6 intregi si 1/4 = ( 6×4+1)/4 = 25/4

5 intregi si 2/3 = (5×3+2)/3 = 17/3

1 intreg si 17/24 = (1×24+17)/24 = 41/24

________________________________

= 25/4 + 17/3 + 41/24 =

→ aduc fractiile la acelasi numitor comun: 24

= ( 6×25)/(6×4) + (8×17)/(8×3) + 41/24 =

= ( 150 + 136 + 41)/24 =

= 327/24 =

= ( 327:3)/(24:3) =

= 109/8 =

= 13 intregi si 5/8

Answer 2

$E =6\dfrac{1}{4}+ 5\dfrac{2}{3} + 1\dfrac{17}{24} =\\ \\E =6+\dfrac{1}{4}+ 5+\dfrac{2}{3} + 1+\dfrac{17}{24} \\ \\E = 12+\dfrac{1}{4}+\dfrac{2}{3} +\dfrac{17}{24} \\ \\24E = 12\cdot 24+6+2\cdot 8+17\\ \\ 24E = 288+6+16+17\\ \\ 24E = 327 \\ \\ E = \dfrac{327}{24} \\ \\\\ \Rightarrow \boxed{E = \dfrac{109}{8}}$