Compare 12/45 and 10/35
12/45 is smaller than 10/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
12/45 = 12 × 7/45 × 7 = 84/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
10/35 = 10 × 9/35 × 9 = 90/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/315 < 90/315 or 12/45 < 10/35
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