Question

2. Simplificați fracţia ordinară
7^21 supra7^20 +7^21
până devine ireductibilă​

Answer 1

Răspuns: $\boxed{\boxed{\bf \dfrac{7}{8}}}$

Explicație pas cu pas:

Salutare!

$\bf \dfrac{7^{21} }{7^{20}+7^{21}} =$

$\bf \dfrac{7^{21} }{7^{20}\cdot(7^{20-20}+7^{21-20})} =$

$\bf \dfrac{7^{21} }{7^{20}\cdot(7^{0}+7^{1})} =$

$\bf \dfrac{7^{21} }{7^{20}\cdot(1+7)} =$

$\bf \dfrac{7^{21} }{7^{20}\cdot 8} =$

$\bf \dfrac{7^{20}\cdot 7^{1} }{7^{20}\cdot 8} =\boxed{\boxed{\bf \dfrac{7}{8}}}$

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