Compare 6/40 and 30/49
6/40 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
6/40 = 6 × 49/40 × 49 = 294/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
30/49 = 30 × 40/49 × 40 = 1200/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1960 < 1200/1960 or 6/40 < 30/49
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