Compare 30/49 and 56/80
30/49 is smaller than 56/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 80 is 3920
Next, find the equivalent fraction of both fractional numbers with denominator 3920 - For the 1st fraction, since 49 × 80 = 3920,
30/49 = 30 × 80/49 × 80 = 2400/3920 - Likewise, for the 2nd fraction, since 80 × 49 = 3920,
56/80 = 56 × 49/80 × 49 = 2744/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2400/3920 < 2744/3920 or 30/49 < 56/80
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