Compare 56/98 and 21/40
56/98 is greater than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
56/98 = 56 × 20/98 × 20 = 1120/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/1960 > 1029/1960 or 56/98 > 21/40
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