Question

-3.1_14+(-1 2_7 + 5_6. _ înseamnă supra

Answer 1

Răspuns

Explicație pas cu pas:

$-3\dfrac{1}{14}+\left(-1\dfrac{2}{7}+\dfrac{5}{6}\right)=\\\\\dfrac{-3\cdot 14-1}{14}+\dfrac{-7-2}{7}+\dfrac{5}{6}=\\\\\dfrac{-42-1}{14}-\dfrac{9}{7}+\dfrac{5}{6}=\\\\-\dfrac{43}{14}-\dfrac{9}{7}+\dfrac{5}{6}=\\Numitorul~comun~este~42:\\\\\dfrac{-43\cdot3-6\cdot 9+5\cdot 7}{42}=\dfrac{-129-54+35}{42}=\dfrac{-148}{42}=-\dfrac{74}{21}$

Answer 2

Răspuns

Explicație pas cu pas:

→ introduc intregii in fractie

- 3 intregi si 1 / 14 = - ( 3 x 14 + 1 ) / 14 = - 43/14

- 1 intreg si 2 / 7 = - ( 1 x 7 + 2 ) / 7 = - 9 / 7

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- 43 / 14 + ( - 9 / 7 + 5 / 6 ) =  → c.m.m.m.c al numitorilor 6 si 7 = 42

= - 43 / 14 + ( - 54 / 42 + 35 / 42 ) =

= - 43 / 14 - 19 / 42 =   → cmmmc al numitorilor 14 si 42 = 42

= - ( 43 x 3) / 42 - 19 / 42 =

= ( - 129 - 19 ) / 42 =

= - 148 / 42 = → simplific cu 2

= - 74 / 21 =

= - 3 intregi si 11 / 21