Question

a kitten weighs four whole pounds and 2/3 of a fifth pound which mixed number represents the kittens weight?

Answer 1

Given that a kitten weighs four whole pounds and 2/3 of a fifth pound.

In this type of problem it is always best to break the given statement into smaller pieces then writing expression for each piece will be more easy.

"fifth" means 1/5.

so 2/3 of a fifth means product of 2/3 and 1/5 which is

$\frac{2}{3}*\frac{1}{5}=\frac{2*1}{3*5}=\frac{2}{15}$

Now total weight is given by

4 whole pounds and 2/3 of a fifth

$= 4 + \frac{2}{15}$

$= 4*\frac{15}{15} + \frac{2}{15}$

$= \frac{60}{15} + \frac{2}{15}$

$= \frac{60+2}{15}$

$= \frac{62}{15}$

Hence required fraction for the answer is $\frac{62}{15}$.

Answer 2

4 + (2/3)×(1/5) = 4 + 2/15 = 62/15 pounds