Compare 12/15 and 30/35
12/15 is smaller than 30/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
12/15 = 12 × 7/15 × 7 = 84/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
30/35 = 30 × 3/35 × 3 = 90/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/105 < 90/105 or 12/15 < 30/35
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