jchivalierp1bhig jchivalierp1bhig
  • 03-10-2020
  • Mathematics
contestada

Which number is equivalent to 0.45? line over .45

Respuesta :

jimrgrant1 jimrgrant1
  • 03-10-2020

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The line over 45 indicates 45 is being repeated, that is

0.4545....

Create 2 equations with the repeating values after the decimal point

let x = 0.4545..... → (1) ( multiply both sides by 100 )

100x = 45.4545..... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 45 ( divide both sides by 99 )

x = [tex]\frac{45}{99}[/tex] = [tex]\frac{5}{11}[/tex]

Thus 0.4545... = [tex]\frac{5}{11}[/tex]

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