Respuesta :

0.8 is 8/10 as a fraction, and it is simplified as 4/5

Write 0.8 as 0.8/1.

Multiply the numerator and denominator by 10 for each digit after the decimal point:

[tex]\boldsymbol{\sf{\dfrac{0.8}{1}=\dfrac{0.8\times10}{1\times}=\dfrac{8}{10} }}[/tex]

To reduce the fraction, we find the greatest common factor (GCF) for 8 and 10. A factor is just a number that is divided into another number without any remainder.

  • The factors of 8 are: 1,2,4,8
  • The factors of 10 are: 1, 2, 5, 10

The greatest common factor (GCF) for both 8 and 10 is: 2.

Now, to reduce the fraction, we divide both the numerator and denominator by the value of the GCF.

[tex]\boldsymbol{\sf{\dfrac{8}{10}=\dfrac{8\times2}{10\times2}=\dfrac{4}{5} }}[/tex]

As a side note, the integral part of the integer is: empty

The decimal part is: 8 = ⁸/₁₀

Complete breakdown of simple fractions: 80/100

= 8/10

= 4/5

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04 }}}}}}}[/tex]

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