Compare 15/98 and 40/7
1st number: 15/98, 2nd number: 5 5/7
15/98 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 7 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 98 × 1 = 98,
15/98 = 15 × 1/98 × 1 = 15/98 - Likewise, for the 2nd fraction, since 7 × 14 = 98,
40/7 = 40 × 14/7 × 14 = 560/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/98 < 560/98 or 15/98 < 40/7
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