Compare 72/98 and 18/40
72/98 is greater than 18/40
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,
72/98 = 72 × 20/98 × 20 = 1440/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
18/40 = 18 × 49/40 × 49 = 882/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1440/1960 > 882/1960 or 72/98 > 18/40
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