lilskino06 lilskino06
  • 01-12-2019
  • Mathematics
contestada

1.1(3) as a simplified fraction

Respuesta :

gmany
gmany gmany
  • 01-12-2019

Answer:

[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]

Step-by-step explanation:

[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]

Answer Link

Otras preguntas

The length of a rectangular garden is 8 feet longer than it’s width. The garden is surrounded by a sidewalk that is 4 feet wide and has a area of 320 square fee
what is 1.96 rounded to the nearest tenth
how was economics in Europe before the black death
What multiplies to get 36 and adds to get 5
Which one of the following statements best describes group behavior? A. As a group behaves, so too will each individual in the group. B. Group behavior is a thi
Two similar buses are moving with the same velocity on the roads one of them is empty and other is loaded with passenger. Which of the two will stop by the appl
When a body falls to the earth, the earth also move up to meet it but the earth motion is not noticeable. why?
A train travels 53 kilometers in 1 hours and then 81 kilometers in 3 hours what is its average speed?
Imagine la fin du film "Cendrillon", i really need help with this.
Solve and explain your "main thinking" 9+7