Compare 30/32 and 50/45
1st number: 30/32, 2nd number: 1 5/45
30/32 is smaller than 50/45
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,
30/32 = 30 × 45/32 × 45 = 1350/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
50/45 = 50 × 32/45 × 32 = 1600/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1350/1440 < 1600/1440 or 30/32 < 50/45
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