Compare 12/45 and 32/7
1st number: 12/45, 2nd number: 4 4/7
12/45 is smaller than 32/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 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 7 × 45 = 315,
32/7 = 32 × 45/7 × 45 = 1440/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/315 < 1440/315 or 12/45 < 32/7
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