Compare 6/49 and 40/80
6/49 is smaller than 40/80
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,
6/49 = 6 × 80/49 × 80 = 480/3920 - Likewise, for the 2nd fraction, since 80 × 49 = 3920,
40/80 = 40 × 49/80 × 49 = 1960/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/3920 < 1960/3920 or 6/49 < 40/80
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