Compare 36/98 and 40/16
1st number: 36/98, 2nd number: 2 8/16
36/98 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 98 × 8 = 784,
36/98 = 36 × 8/98 × 8 = 288/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/784 < 1960/784 or 36/98 < 40/16
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