rickylawless78 rickylawless78
  • 13-11-2018
  • Mathematics
contestada

3 6/7 divided by 4 2/3 =

Respuesta :

gmany
gmany gmany
  • 13-11-2018

We need convert the mixed numbers to improper fractions.

[tex]3\dfrac{6}{7}=\dfrac{3\cdot7+6}{7}=\dfrac{21+6}{7}=\dfrac{27}{7}\\\\4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{12+2}{3}=\dfrac{14}{3}[/tex]

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

[tex]3\dfrac{6}{7}\div4\dfrac{2}{3}=\dfrac{27}{7}\div\dfrac{14}{3}=\dfrac{27}{7}\cdot\dfrac{3}{14}=\dfrac{81}{98}[/tex]

Answer:

[tex]\boxed{3\dfrac{6}{7}\div4\dfrac{2}{3}=\dfrac{81}{98}}[/tex]

Answer Link

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