Compare 45/24 and 30/14
1st number: 1 21/24, 2nd number: 2 2/14
45/24 is smaller than 30/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 14 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
45/24 = 45 × 7/24 × 7 = 315/168 - Likewise, for the 2nd fraction, since 14 × 12 = 168,
30/14 = 30 × 12/14 × 12 = 360/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/168 < 360/168 or 45/24 < 30/14
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