vladbunacalea vladbunacalea
  • 11-09-2019
  • Mathematics
contestada

transform pls in fraction (transformati in fractie pls) 3,(7)

Respuesta :

calculista
calculista calculista
  • 12-09-2019

Answer:

The fraction number is [tex]\frac{34}{9}[/tex]

Step-by-step explanation:

we have

[tex]3.777...[/tex]

This is a repeating decimal  (a decimal that has a digit, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

[tex]x=3.777...[/tex]

[tex]10x=37.777...[/tex]

we know that

[tex]10x-x=37.777...-3.777...[/tex]

[tex]9x=34[/tex]

[tex]x=\frac{34}{9}[/tex]

therefore

The fraction number is [tex]\frac{34}{9}[/tex]

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