Compare 49/30 and 27/8
1st number: 1 19/30, 2nd number: 3 3/8
49/30 is smaller than 27/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
49/30 = 49 × 4/30 × 4 = 196/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
27/8 = 27 × 15/8 × 15 = 405/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/120 < 405/120 or 49/30 < 27/8
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