Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{12}[/tex] ÷ [tex]\frac{8x}{6}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
= [tex]\frac{4x}{12}[/tex] × [tex]\frac{6}{8x}[/tex]
Cancel the 6 and 12 on the numerator/denominator by 6 and
Cancel the 4x and 8x on the numerator/ denominator by 4x, leaving
= [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{4}[/tex]