Compare 12/30 and 49/40
1st number: 12/30, 2nd number: 1 9/40
12/30 is smaller than 49/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
12/30 = 12 × 4/30 × 4 = 48/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/120 < 147/120 or 12/30 < 49/40
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