Compare 8/98 and 30/32
8/98 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 98 × 16 = 1568,
8/98 = 8 × 16/98 × 16 = 128/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
30/32 = 30 × 49/32 × 49 = 1470/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/1568 < 1470/1568 or 8/98 < 30/32
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