Compare 45/15 and 98/7
1st number: 3 0/15, 2nd number: 14 0/7
45/15 is smaller than 98/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 7 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
45/15 = 45 × 7/15 × 7 = 315/105 - Likewise, for the 2nd fraction, since 7 × 15 = 105,
98/7 = 98 × 15/7 × 15 = 1470/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/105 < 1470/105 or 45/15 < 98/7
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