Compare 50/98 and 16/40
50/98 is greater than 16/40
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,
50/98 = 50 × 20/98 × 20 = 1000/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
16/40 = 16 × 49/40 × 49 = 784/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1000/1960 > 784/1960 or 50/98 > 16/40
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