Compare 30/45 and 72/80
30/45 is smaller than 72/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 80 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
30/45 = 30 × 16/45 × 16 = 480/720 - Likewise, for the 2nd fraction, since 80 × 9 = 720,
72/80 = 72 × 9/80 × 9 = 648/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/720 < 648/720 or 30/45 < 72/80
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