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

Are the given lengths 24, 60, 66, sides of a right triangle?
How do you solve 834 divided by 4 using the area model???
What problems existed in pre revolutionary France?
In the Meselson-Stahl experiment, bacteria were grown in medium containing 15N and were then transferred to medium containing 14N. After three rounds of DNA rep
Julio is given $10 in allowance money. He heads down to the store and finds two games that he can buy. In comparing the prices of these goods, Julio is using mo
the lawn order lawnmower factory can produce 12 lawnmowers in 8 hours . How many hours will take the factory to produce 30 lawnmowers?
what is 7.3 x 10 to the 2nd power
What is the missing exponent? (6^_____)^-4=6^20
37,771,573....Find the digit in the hundred place.which digit has 1/10 the value of the digit in the hundred plac
Born as Saul, his name is known as _________ and he spent his entire life after conversion spreading Christianity.