Compare 2/45 and 30/18
1st number: 2/45, 2nd number: 1 12/18
2/45 is smaller than 30/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
2/45 = 2 × 2/45 × 2 = 4/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
30/18 = 30 × 5/18 × 5 = 150/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/90 < 150/90 or 2/45 < 30/18
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