Matematică, întrebare adresată de ezerunicoleta, 8 ani în urmă

Aratati ca
 (\frac{4}{3  } +  \frac{3}{4} )  \div   (\frac{4 }{3 }  -  \frac{3}{4 })  \times  \frac{7}{2}  = 1

Răspunsuri la întrebare

Răspuns de mausmini118
1

( \frac{4}{3} +  \frac{3}{4}) \div ( \frac{4}{3}  -  \frac{3}{4} ) \times  \frac{7}{2}  = 1

 \frac{ \frac{16}{12 }  + \frac{9}{12} }{ \frac{4}{3}  -  \frac{3}{4} }  \times ( \frac{7}{2} ) = 1

 \frac{ \frac{16 + 9}{12} }{ \frac{4}{3} -  \frac{3}{4}  }  \times ( \frac{7}{2} ) = 1

 \frac{ \frac{25}{12} }{ \frac{4}{3}  -  \frac{3}{4} }  \times ( \frac{7}{2} ) = 1

 \frac{ \frac{25}{12} }{ \frac{16}{12} -  \frac{9}{12}  }  \times  \frac{7}{2}  = 1

 \frac{ \frac{25}{12} }{ \frac{16 - 9}{12} }  \times ( \frac{7}{2} ) = 1

 \frac{ \frac{25}{12} }{ \frac{7}{12} }  \times ( \frac{7}{2} ) = 1

 \frac{25}{12}  \times ( \frac{12}{7} ) \times ( \frac{7}{2} ) = 1

 \frac{25 \times 12}{12 \times 7}  = \times ( \frac{7}{2} ) = 1

 \frac{25}{7}  \times ( \frac{7}{2} ) = 1

 \frac{25 \times 7}{7 \times 2}  = 1

 \frac{25}{2}  = 1

 \frac{25}{2} =  \frac{2}{2}

Sper ca ti-am fost de folos. Succes!!!

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