Question

va rog frumos ma ajuta si pe mine cineva ca nu stiu sa rezolv acest exercitiu ​

Answer 1

Răspuns:

Explicație pas cu pas:

( 1/14 + 10/21) : 23/4 + 5/12 = 43/84

-> Pentru a calcula suma fractiilor din paranteza, trebuie sa aducem fractiile la acelasi numitor.

-> cel mai mic multiplu comun al numitorilor 14  si 21 este:

14 = 2 ×7

21 = 3 × 7

_______

c.m.m.m.c al numitorilor = 2 × 3 × 7 = 42

-> amplific fractia 1/14 cu 3 => (3×1)/(3×14) = 3/42

-> amplific fractia 10/21 cu 2 => (2×10)/(2×21) = 20/42

-> avand fractii cu acelasi numitor (42) se aduna numaratorii supra numitorul comun

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= ( 3/42 + 20/42) × 4/23 + 5/12 =

= (23/42) × 4/23 + 5/12 =

= (23/23) × (4/42) + 5/12 =

= 1 × 2/21 + 5/12 =

= 2/21 + 5/12 =

-> aflam cel mai mic multiplu comun al numitorilor 21 si 12

21 = 3×7

12 = 3×4

________

c.m.m.m.c. al numitorilor 21 si 12 = 3×4×7= 84

-> amplific fractia 2/21 cu 4 => (4×2)/(4×21) = 8/84

-> amplific si fractia 5/12 cu 7 =>  (7×5)/(7×12) = 35/84

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=  8/84 + 35/84 =

= ( 8 + 35)/84 =

= 43/84

Answer 2

$\it \Big(\dfrac{^{3)}1}{14}+\dfrac{^{2)}10}{21}\Big):\dfrac{23}{4}+\dfrac{5}{12}=\dfrac{3+20}{42}:\dfrac{23}{4}+\dfrac{5}{12}=\dfrac{23}{42}\cdot\dfrac{4}{23}+\dfrac{5}{12}=\\ \\ \\ =\dfrac{^{4)}2}{21}+\dfrac{^{7)}5}{12}=\dfrac{8+35}{84}=\dfrac{43}{84}$