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[tex]( \frac{7}{8} - \frac{7}{48} ) \times ( \frac{8}{9} + \frac{13}{21} )[/tex]
con procedimiento xfavor
[tex]( \frac{7}{8} - \frac{7}{48} ) \times ( \frac{8}{9} + \frac{13}{21} )[/tex]
con procedimiento xfavor
Respuesta:
(7⁄8-7⁄48)x(8⁄9+13⁄21)
[tex]\left(\frac{7}{8}-\frac{7}{48}\right)x\left(\frac{8}{9}+\frac{13}{21}\right)\\\\=\left(\frac{7}{8}-\frac{7}{48}\right)\left(\frac{8}{9}+\frac{13}{21}\right)x[/tex]
Verified answer
Respuesta:
[tex]1\frac{43}{432}[/tex]
Explicación paso a paso:
[tex]\left(\frac{7}{8}-\frac{7}{48}\right)\left(\frac{8}{9}+\frac{13}{21}\right)\\\\\frac{7}{8}-\frac{7}{48}\\\\=\frac{42}{48}-\frac{7}{48}\\\\=\frac{42-7}{48}\\\\42-7=35\\\\=\frac{35}{48}\\\\=\frac{35}{48}\left(\frac{8}{9}+\frac{13}{21}\right)\\\\\frac{8}{9}+\frac{13}{21}\\\\=\frac{56}{63}+\frac{39}{63}\\\\=\frac{56+39}{63}\\\\56+39=95\\\\=\frac{95}{63}\\\\=\frac{35}{48}\cdot \frac{95}{63}\\\\=\frac{35\cdot \:95}{48\cdot \:63}\\\\=\frac{7\cdot \:5\cdot \:95}{48\cdot \:63}\\\\[/tex]
[tex]=\frac{7\cdot \:5\cdot \:95}{48\cdot \:7\cdot \:9}\\\\=\frac{5\cdot \:95}{48\cdot \:9}\\\\=\frac{475}{48\cdot \:9}\\\\48\cdot \:9=432\\\\=\frac{475}{432}\\\\\frac{475}{432}=1\frac{43}{432}\\\\=1\frac{43}{432}[/tex]