caitlincapehorn caitlincapehorn
  • 27-08-2021
  • Mathematics
contestada

a:b=2:3
b:c= 5:6
Show that a:c=5:9

Respuesta :

jimrgrant1 jimrgrant1
  • 27-08-2021

Answer:

see explanation

Step-by-step explanation:

Expressing ratios in fractional form, then

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{5}{9}[/tex]

That is a : c = 5 : 9

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