Answer:
[tex]\frac{1}{6}=\frac{4}{24}\\\frac{3}{8}=\frac{9}{24}[/tex]
Step-by-step explanation:
Simple stuff! The most reasonable answer is to multiply both denominators: [tex]6*8=48[/tex]
Because 48 can be divisible for both 6 and 8. Afterward, we can write down our fractions, we want our denominator to be 48, so:
[tex]\frac{1}{6}=\frac{x}{48} \\x=8[/tex]
[tex]\frac{3}{8} =\frac{y}{48} \\y=18[/tex]
Our fractions are:
[tex]\frac{1}{6} =\frac{8}{48}\\\frac{3}{8} =\frac{18}{48}[/tex]
We can simplify both fractions and still remain with the same denominator:
[tex]\frac{1}{6} =\frac{8}{48}=\frac{4}{24} \\\frac{3}{8} =\frac{18}{48}=\frac{9}{24}[/tex]
Both fractions have the same denominator and are equivalent to the original fractions!