Question

3.Se considera numerele reale a=(1/3 +1/5):1/2 si b =1/2×(1/3-1/5).a)Arata ca a= 16/15.
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Answer 1

Răspuns:

$\red{\bf a =\dfrac{16}{15} }$

Explicație pas cu pas:

$\bf a = \bigg(\dfrac{ ^{5)} 1 \: }{3} + \dfrac{^{3)} 1 \: }{5} \bigg ): \dfrac{1}{2}$

$\bf a = \bigg(\dfrac{5}{15} + \dfrac{3}{15} \bigg ) \cdot \dfrac{2}{1}$

$\bf a =\dfrac{5 + 3}{15} \cdot \dfrac{2}{1}$

$\bf a =\dfrac{8}{15} \cdot \dfrac{2}{1}$

$\red{\bf a =\dfrac{16}{15} }$