Răspuns:
Explicație pas cu pas:
Salutare !
⠕ Aflăm valoarea numărului a :
[tex] \bf a = ( ^{5)} \frac{1}{3} + ^{3)}\frac{1}{5} ) \div \frac{1}{2} [/tex]
[tex] \bf a = ( \frac{5}{15} + \frac{3}{15}) \div \frac{1}{2} \Rightarrow a = ( \frac{5 + 3}{15} ) \div \frac{1}{2} [/tex]
[tex] \bf a = \frac{8}{15} \div \frac{1}{2} \Rightarrow a = \frac{ 8}{15} \times 2 \Rightarrow a = \boxed{ \frac{16}{15} } [/tex]
⠕ Aflăm valoarea numărului b :
[tex] \bf b = \frac{1}{2} \times ( ^{5)} \frac{1}{3} - ^{3)} \frac{1}{5} )[/tex]
[tex] \bf b = \frac{1}{2} \times ( \frac{5}{15} - \frac{3}{15} )\Rightarrow b = \frac{1}{2} \times ( \frac{5 - 3}{15} )[/tex]
[tex] \bf b = \frac{1}{ \sout{2} } \times \frac{ \sout{2} }{15} \Rightarrow b = \frac{1}{1} \times \frac{1}{15} \Rightarrow b = \boxed{ \frac{1}{15} }[/tex]
⠕ Demonstrația :
[tex] \bf a = 16b \Rightarrow \frac{16}{15} = 16 \times \frac{1}{15} \Rightarrow \red{ \boxed{ \frac{16}{15} = \frac{16}{15} } } [/tex]
