Question

What can you conclude about 3/5 and 60/100 if you know 3/5 is equivalent to 6/10 and 6/10 is equivalent to 60/100

Answer 1

First we check whether $\frac{3}{5}$ is equivalent to $\frac{6}{10}$

$\frac{3*2}{5*2}$ = $\frac{6}{10}$

Both top and bottom are multiplied by 2 to get $\frac{6}{10}$

So they are equivalent fractions.

Now we check whether $\frac{6}{10}$ is equivalent to $\frac{60}{100}$

$\frac{6*10}{10*10}$ = $\frac{60}{100}$

Both top and bottom are multiplied by 10 to get $\frac{60}{100}$

So they are equivalent fractions.

$\frac{3}{5}$ = $\frac{6}{10}$ =$\frac{60}{100}$

Hence we conclude that they are equivalent fractions.