mathshelp30
mathshelp30 mathshelp30
  • 03-06-2017
  • Mathematics
contestada

Can someone plssssssssss help me with this maths question.
. .
Prove that the recurring decimal 0.15 has the value 5/33

Respuesta :

Alina6211
Alina6211 Alina6211
  • 03-06-2017
x = 0,(15) | * 100
100x = 15,(15) | - 0,(15)
99x = 15 | ÷ 99
x = 15/99 = 5/33
Answer Link
konrad509
konrad509 konrad509
  • 19-06-2019

[tex]x=0.\overline{15}\\100x=15.\overline{15}\\\\100x-x=15.\overline{15}-0.\overline{15}\\99x=15\\x=\dfrac{15}{99}=\dfrac{5}{33}[/tex]

Answer Link

Otras preguntas

Marijuana is a mind altering drug and is classified as a: A. narcotic B. psychoactive C. stimulant D. inhalant
if a writer wished to emphasize that a particular matter is purely a hypothetical notion, rather than one necessarily based in reality, which of these would be
Which event led to the Cuban Missile Crisis? Soviets were setting up nuclear missiles in Cuba. Cubans were setting up nuclear missiles in the Soviet Union. The
Ana are 132 de lei la magazinul de jucarii si de 3 ori mai putin la librarie ce suma a cheltuit ana in total
Once the delegates to the Constitutional Convention agreed on the Constitution, what was required for it to become official?
75,000,000,000 in scientific notation.
What are checks and balances? in your own words
When multiplying an inequality by a negative number, make sure to flip the inequality sign. True False
Help with questions 1-3
Why is iron more reactive than copper