Question

Express each ratio as a fraction in the simplest form 1) 21 dimes to 30 dimes

Answer 1

1) Let's start by writing this ratio, and then simplify whenever possible.

`(21)/(30)=\frac{21\text{ :3}}{30\colon3}=(7)/(10)`

2) There's no way to reduce it more than that, so we can stop it here.

3) Hence 21 dimes to 30 dimes is the same as saying you've got 7 dimes to 10 dimes since it expresses the same ratio.