Compare 40/96 and 18/98
40/96 is greater than 18/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 98 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 96 × 49 = 4704,
40/96 = 40 × 49/96 × 49 = 1960/4704 - Likewise, for the 2nd fraction, since 98 × 48 = 4704,
18/98 = 18 × 48/98 × 48 = 864/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1960/4704 > 864/4704 or 40/96 > 18/98
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