Compare 3/80 and 10/49
3/80 is smaller than 10/49
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,
3/80 = 3 × 49/80 × 49 = 147/3920 - Likewise, for the 2nd fraction, since 49 × 80 = 3920,
10/49 = 10 × 80/49 × 80 = 800/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/3920 < 800/3920 or 3/80 < 10/49
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