Respuesta :

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!