Compare 4/35 and 32/49
4/35 is smaller than 32/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
4/35 = 4 × 7/35 × 7 = 28/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
32/49 = 32 × 5/49 × 5 = 160/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/245 < 160/245 or 4/35 < 32/49
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