Compare 30/96 and 27/35
30/96 is smaller than 27/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 35 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 96 × 35 = 3360,
30/96 = 30 × 35/96 × 35 = 1050/3360 - Likewise, for the 2nd fraction, since 35 × 96 = 3360,
27/35 = 27 × 96/35 × 96 = 2592/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/3360 < 2592/3360 or 30/96 < 27/35
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