Compare 10/80 and 21/49
10/80 is smaller than 21/49
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,
10/80 = 10 × 49/80 × 49 = 490/3920 - Likewise, for the 2nd fraction, since 49 × 80 = 3920,
21/49 = 21 × 80/49 × 80 = 1680/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/3920 < 1680/3920 or 10/80 < 21/49
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