Compare 9/98 and 30/72
9/98 is smaller than 30/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 72 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 98 × 36 = 3528,
9/98 = 9 × 36/98 × 36 = 324/3528 - Likewise, for the 2nd fraction, since 72 × 49 = 3528,
30/72 = 30 × 49/72 × 49 = 1470/3528 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/3528 < 1470/3528 or 9/98 < 30/72
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