Compare 2/5 and 35/49
2/5 is smaller than 35/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
2/5 = 2 × 49/5 × 49 = 98/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
35/49 = 35 × 5/49 × 5 = 175/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/245 < 175/245 or 2/5 < 35/49
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