Compare 30/49 and 56/40
1st number: 30/49, 2nd number: 1 16/40
30/49 is smaller than 56/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
30/49 = 30 × 40/49 × 40 = 1200/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
56/40 = 56 × 49/40 × 49 = 2744/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/1960 < 2744/1960 or 30/49 < 56/40
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