First we check whether [tex] \frac{3}{5} [/tex] is equivalent to [tex] \frac{6}{10} [/tex]
[tex] \frac{3*2}{5*2} [/tex] = [tex] \frac{6}{10} [/tex]
Both top and bottom are multiplied by 2 to get [tex] \frac{6}{10} [/tex]
So they are equivalent fractions.
Now we check whether [tex] \frac{6}{10} [/tex] is equivalent to [tex] \frac{60}{100} [/tex]
[tex] \frac{6*10}{10*10} [/tex] = [tex] \frac{60}{100} [/tex]
Both top and bottom are multiplied by 10 to get [tex] \frac{60}{100} [/tex]
So they are equivalent fractions.
[tex] \frac{3}{5} [/tex] = [tex] \frac{6}{10} [/tex] =[tex] \frac{60}{100} [/tex]
Hence we conclude that they are equivalent fractions.
