Compare 2/32 and 42/45
2/32 is smaller than 42/45
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,
2/32 = 2 × 45/32 × 45 = 90/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
42/45 = 42 × 32/45 × 32 = 1344/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/1440 < 1344/1440 or 2/32 < 42/45
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