Compare 3/24 and 30/28
1st number: 3/24, 2nd number: 1 2/28
3/24 is smaller than 30/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 28 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
3/24 = 3 × 7/24 × 7 = 21/168 - Likewise, for the 2nd fraction, since 28 × 6 = 168,
30/28 = 30 × 6/28 × 6 = 180/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/168 < 180/168 or 3/24 < 30/28
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