Compare 2/5 and 54/98
2/5 is smaller than 54/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 5 × 98 = 490,
2/5 = 2 × 98/5 × 98 = 196/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
54/98 = 54 × 5/98 × 5 = 270/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/490 < 270/490 or 2/5 < 54/98
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