Compare 4/30 and 35/96
4/30 is smaller than 35/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
4/30 = 4 × 16/30 × 16 = 64/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
35/96 = 35 × 5/96 × 5 = 175/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/480 < 175/480 or 4/30 < 35/96
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