Solution
[tex]\frac{3}{5}\text{ is equivalent to }\frac{6}{10}[/tex]Steps for comparing fractions
Find the least common denominator or LCM of the two denominators:
LCM of 5 and 10 is 10
Next, find the equivalent fraction of both fractional numbers with denominator 10
For the 1st fraction, since 5 × 2 = 10,
[tex]\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}[/tex]Likewise, for the 2nd fraction, since 10 × 1 = 10,
[tex]\frac{6}{10}=\frac{6\times1}{10\times1}=\frac{6}{10}[/tex]Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
[tex]\frac{6}{10}=\frac{6}{10}or\frac{3}{5}=\frac{6}{10}[/tex]