Compare 8/28 and 40/98
8/28 is smaller than 40/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 98 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
8/28 = 8 × 7/28 × 7 = 56/196 - Likewise, for the 2nd fraction, since 98 × 2 = 196,
40/98 = 40 × 2/98 × 2 = 80/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/196 < 80/196 or 8/28 < 40/98
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