Compare 30/40 and 48/27
1st number: 30/40, 2nd number: 1 21/27
30/40 is smaller than 48/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
48/27 = 48 × 40/27 × 40 = 1920/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/1080 < 1920/1080 or 30/40 < 48/27
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