Compare 20/45 and 54/98
20/45 is smaller than 54/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 98 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 45 × 98 = 4410,
20/45 = 20 × 98/45 × 98 = 1960/4410 - Likewise, for the 2nd fraction, since 98 × 45 = 4410,
54/98 = 54 × 45/98 × 45 = 2430/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1960/4410 < 2430/4410 or 20/45 < 54/98
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