Compare 56/45 and 30/24
1st number: 1 11/45, 2nd number: 1 6/24
56/45 is smaller than 30/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
56/45 = 56 × 8/45 × 8 = 448/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
30/24 = 30 × 15/24 × 15 = 450/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/360 < 450/360 or 56/45 < 30/24
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