Compare 28/30 and 45/4
1st number: 28/30, 2nd number: 11 1/4
28/30 is smaller than 45/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 4 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
28/30 = 28 × 2/30 × 2 = 56/60 - Likewise, for the 2nd fraction, since 4 × 15 = 60,
45/4 = 45 × 15/4 × 15 = 675/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/60 < 675/60 or 28/30 < 45/4
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