Compare 40/90 and 90/98
40/90 is smaller than 90/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 98 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 90 × 49 = 4410,
40/90 = 40 × 49/90 × 49 = 1960/4410 - Likewise, for the 2nd fraction, since 98 × 45 = 4410,
90/98 = 90 × 45/98 × 45 = 4050/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1960/4410 < 4050/4410 or 40/90 < 90/98
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