Anniematth
Anniematth Anniematth
  • 03-08-2021
  • Mathematics
contestada

Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.​

Respuesta :

caylus
caylus caylus
  • 03-08-2021

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

Answer Link

Otras preguntas

find the circumference of a circle whose radius is 15.4cm
All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})
find the circumference of a circle whose radius is 15.4cm
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
What value of x makes the equation true ? 4(2x-4)=16
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
find the circumference of a circle whose radius is 15.4cm
find the circumference of a circle whose radius is 15.4cm
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
What value of x makes the equation true ? 4(2x-4)=16