Respuesta :
Let [tex]x = 1.66666...[/tex] ....(1)
Multiply both sides of equation (1) by 10.
[tex]10x = 1.666666....[/tex] .... (2)
Multiply both sides of equation (1) by 100.
[tex]100x = 16.66666....[/tex]... (3)
Subtract equation (2) from equation (3)
[tex]100x - 10x = 16.66666...- 1.66666...[/tex]
[tex]90x = 15[/tex]
[tex]x= \frac{15}{90} = \frac{1}{6}[/tex]
Hence, the required fraction form is [tex]\frac{1}{6}[/tex] .... Answer.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
0.16666 can be written as [tex]\frac{16666}{1000000}[/tex]
write the numerator and denominator as the product of their prime numbers
and divide the common numbers. Thus, it can be further reduced to [tex]\frac{1}{6}[/tex]
The gravity of moon is about [tex]\frac{1}{6}[/tex] times the gravity of the Earth due to which the weight of the astronauts on the moon can be found by multiplying by the decimal 0.16666.. or [tex]\frac{1}{6}[/tex].
