Compare 45/80 and 30/49
45/80 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 49 is 3920
Next, find the equivalent fraction of both fractional numbers with denominator 3920 - For the 1st fraction, since 80 × 49 = 3920,
45/80 = 45 × 49/80 × 49 = 2205/3920 - Likewise, for the 2nd fraction, since 49 × 80 = 3920,
30/49 = 30 × 80/49 × 80 = 2400/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/3920 < 2400/3920 or 45/80 < 30/49
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