Compare 75/80 and 80/98
75/80 is greater than 80/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 98 is 3920
Next, find the equivalent fraction of both fractional numbers with denominator 3920 - For the 1st fraction, since 80 × 49 = 3920,
75/80 = 75 × 49/80 × 49 = 3675/3920 - Likewise, for the 2nd fraction, since 98 × 40 = 3920,
80/98 = 80 × 40/98 × 40 = 3200/3920 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3675/3920 > 3200/3920 or 75/80 > 80/98
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