Question

Show your work and explain in a full sentence how 4 2-6 is equivalent to 3 8-6.

Answer 1

Answer:

$4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}$

Explanation:

Given

$4\frac{2}{6}$ and $3\frac{8}{6}$

Required

Show that they are equivalent

To do this, we simply convert both fractions to either decimal or improper fraction

Using improper fraction

$4\frac{2}{6} = \frac{6 * 4 + 2}{6}$

$4\frac{2}{6} = \frac{24 + 2}{6}$

$4\frac{2}{6} = \frac{26}{6}$

$3\frac{8}{6} = \frac{6 *3+8}{6}$

$3\frac{8}{6} = \frac{18+8}{6}$

$3\frac{8}{6} = \frac{26}{6}$

After converting both to improper fraction, we have:

$4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}$

Hence, both are equivalent