Answer:
[tex]4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}[/tex]
Explanation:
Given
[tex]4\frac{2}{6}[/tex] and [tex]3\frac{8}{6}[/tex]
Required
Show that they are equivalent
To do this, we simply convert both fractions to either decimal or improper fraction
Using improper fraction
[tex]4\frac{2}{6} = \frac{6 * 4 + 2}{6}[/tex]
[tex]4\frac{2}{6} = \frac{24 + 2}{6}[/tex]
[tex]4\frac{2}{6} = \frac{26}{6}[/tex]
[tex]3\frac{8}{6} = \frac{6 *3+8}{6}[/tex]
[tex]3\frac{8}{6} = \frac{18+8}{6}[/tex]
[tex]3\frac{8}{6} = \frac{26}{6}[/tex]
After converting both to improper fraction, we have:
[tex]4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}[/tex]
Hence, both are equivalent
