Compare 12/32 and 48/45
1st number: 12/32, 2nd number: 1 3/45
12/32 is smaller than 48/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
12/32 = 12 × 45/32 × 45 = 540/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
48/45 = 48 × 32/45 × 32 = 1536/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/1440 < 1536/1440 or 12/32 < 48/45
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