Compare 6/7 and 45/30, Which fraction is greater?

Compare 6/7 and 45/30

1^st number: 6/7, 2^nd number: 1 15/30

6/7 is smaller than 45/30

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 7 × 30 = 210,
6/7 = 6 × 30/7 × 30 = 180/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
45/30 = 45 × 7/30 × 7 = 315/210
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
180/210 < 315/210 or 6/7 < 45/30

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