[tex] \frac{1}{6} [/tex] ÷ [tex] \frac{2}{6} [/tex]
First, apply this following rule: [tex]a [/tex] ÷ [tex] \frac{b}{x} = a[/tex] × [tex] \frac{c}{b} [/tex]
[tex] \frac{1}{6} [/tex] × [tex] \frac{6}{2} [/tex]
Second, apply this following rule: [tex] \frac{a}{b} [/tex] × [tex] \frac{c}{d} = \frac{ac}{bd} [/tex]
[tex] \frac{1x6}{6x2} [/tex]
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
[tex] \frac{6}{12} [/tex]
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
[tex]6[/tex] ÷ [tex]6 = 1[/tex]
Sixth, divide the denominator by the GCF.
[tex]12[/tex] ÷ [tex]6 = 2[/tex]
Seventh, collect the new numerator and new denominator.
[tex] \frac{1}{2} [/tex]
Answer as fraction: [tex] \frac{1}{2} [/tex]
Answer as decimal: 0.5
