Compare 1/30 and 56/45
1st number: 1/30, 2nd number: 1 11/45
1/30 is smaller than 56/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
1/30 = 1 × 3/30 × 3 = 3/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
56/45 = 56 × 2/45 × 2 = 112/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3/90 < 112/90 or 1/30 < 56/45
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